Finding the Third Proportional to 3,460,972,314,472 and 5,087,782,835,178

Step by Step Solution

1. Step 1: Write the proportion equation
   3,460,972,314,472 : 5,087,782,835,178 = 5,087,782,835,178 : x
2. Step 2: Convert to fraction form
   3,460,972,314,472/5,087,782,835,178 = 5,087,782,835,178/x
3. Step 3: Cross multiply
   3,460,972,314,472x = 5,087,782,835,178 × 5,087,782,835,178
4. Step 4: Simplify right side
   3,460,972,314,472x = 25,885,534,177,931,890,060,689,408
5. Step 5: Solve for x
   x = 25,885,534,177,931,890,060,689,408/3,460,972,314,472
6. Step 6: Final answer
   x = 7,479,266,467,891.68