Finding the Third Proportional to 71,454 and 152,751

Step by Step Solution

1. Step 1: Write the proportion equation
   71,454 : 152,751 = 152,751 : x
2. Step 2: Convert to fraction form
   71,454/152,751 = 152,751/x
3. Step 3: Cross multiply
   71,454x = 152,751 × 152,751
4. Step 4: Simplify right side
   71,454x = 23,332,868,001
5. Step 5: Solve for x
   x = 23,332,868,001/71,454
6. Step 6: Final answer
   x = 326,543.90