Finding the Third Proportional to 71,138 and 152,419

Step by Step Solution

1. Step 1: Write the proportion equation
   71,138 : 152,419 = 152,419 : x
2. Step 2: Convert to fraction form
   71,138/152,419 = 152,419/x
3. Step 3: Cross multiply
   71,138x = 152,419 × 152,419
4. Step 4: Simplify right side
   71,138x = 23,231,551,561
5. Step 5: Solve for x
   x = 23,231,551,561/71,138
6. Step 6: Final answer
   x = 326,570.21