Finding the Third Proportional to 71,540 and 152,320

Step by Step Solution

1. Step 1: Write the proportion equation
   71,540 : 152,320 = 152,320 : x
2. Step 2: Convert to fraction form
   71,540/152,320 = 152,320/x
3. Step 3: Cross multiply
   71,540x = 152,320 × 152,320
4. Step 4: Simplify right side
   71,540x = 23,201,382,400
5. Step 5: Solve for x
   x = 23,201,382,400/71,540
6. Step 6: Final answer
   x = 324,313.42