Finding the Third Proportional to 550,083,992 and 825,126,096

Step by Step Solution

1. Step 1: Write the proportion equation
   550,083,992 : 825,126,096 = 825,126,096 : x
2. Step 2: Convert to fraction form
   550,083,992/825,126,096 = 825,126,096/x
3. Step 3: Cross multiply
   550,083,992x = 825,126,096 × 825,126,096
4. Step 4: Simplify right side
   550,083,992x = 680,833,074,300,201,216
5. Step 5: Solve for x
   x = 680,833,074,300,201,216/550,083,992
6. Step 6: Final answer
   x = 1,237,689,306.00