Finding the Third Proportional to 71,464 and 152,762

Step by Step Solution

1. Step 1: Write the proportion equation
   71,464 : 152,762 = 152,762 : x
2. Step 2: Convert to fraction form
   71,464/152,762 = 152,762/x
3. Step 3: Cross multiply
   71,464x = 152,762 × 152,762
4. Step 4: Simplify right side
   71,464x = 23,336,228,644
5. Step 5: Solve for x
   x = 23,336,228,644/71,464
6. Step 6: Final answer
   x = 326,545.23