Finding the Third Proportional to 71,029 and 152,034

Step by Step Solution

1. Step 1: Write the proportion equation
   71,029 : 152,034 = 152,034 : x
2. Step 2: Convert to fraction form
   71,029/152,034 = 152,034/x
3. Step 3: Cross multiply
   71,029x = 152,034 × 152,034
4. Step 4: Simplify right side
   71,029x = 23,114,337,156
5. Step 5: Solve for x
   x = 23,114,337,156/71,029
6. Step 6: Final answer
   x = 325,421.13