Finding the Third Proportional to 78,180 and 152,471

Step by Step Solution

1. Step 1: Write the proportion equation
   78,180 : 152,471 = 152,471 : x
2. Step 2: Convert to fraction form
   78,180/152,471 = 152,471/x
3. Step 3: Cross multiply
   78,180x = 152,471 × 152,471
4. Step 4: Simplify right side
   78,180x = 23,247,405,841
5. Step 5: Solve for x
   x = 23,247,405,841/78,180
6. Step 6: Final answer
   x = 297,357.46