Finding the Third Proportional to 152,414 and 205,599

Step by Step Solution

1. Step 1: Write the proportion equation
   152,414 : 205,599 = 205,599 : x
2. Step 2: Convert to fraction form
   152,414/205,599 = 205,599/x
3. Step 3: Cross multiply
   152,414x = 205,599 × 205,599
4. Step 4: Simplify right side
   152,414x = 42,270,948,801
5. Step 5: Solve for x
   x = 42,270,948,801/152,414
6. Step 6: Final answer
   x = 277,342.95