Finding the Third Proportional to 152,129 and 339,238

Step by Step Solution

1. Step 1: Write the proportion equation
   152,129 : 339,238 = 339,238 : x
2. Step 2: Convert to fraction form
   152,129/339,238 = 339,238/x
3. Step 3: Cross multiply
   152,129x = 339,238 × 339,238
4. Step 4: Simplify right side
   152,129x = 115,082,420,644
5. Step 5: Solve for x
   x = 115,082,420,644/152,129
6. Step 6: Final answer
   x = 756,479.18