Finding the Third Proportional to 71,534 and 152,308

Step by Step Solution

1. Step 1: Write the proportion equation
   71,534 : 152,308 = 152,308 : x
2. Step 2: Convert to fraction form
   71,534/152,308 = 152,308/x
3. Step 3: Cross multiply
   71,534x = 152,308 × 152,308
4. Step 4: Simplify right side
   71,534x = 23,197,726,864
5. Step 5: Solve for x
   x = 23,197,726,864/71,534
6. Step 6: Final answer
   x = 324,289.52