Finding the Third Proportional to 152,007 and 338,966

Step by Step Solution

1. Step 1: Write the proportion equation
   152,007 : 338,966 = 338,966 : x
2. Step 2: Convert to fraction form
   152,007/338,966 = 338,966/x
3. Step 3: Cross multiply
   152,007x = 338,966 × 338,966
4. Step 4: Simplify right side
   152,007x = 114,897,949,156
5. Step 5: Solve for x
   x = 114,897,949,156/152,007
6. Step 6: Final answer
   x = 755,872.75