Finding the Third Proportional to 102,142 and 152,599

Step by Step Solution

1. Step 1: Write the proportion equation
   102,142 : 152,599 = 152,599 : x
2. Step 2: Convert to fraction form
   102,142/152,599 = 152,599/x
3. Step 3: Cross multiply
   102,142x = 152,599 × 152,599
4. Step 4: Simplify right side
   102,142x = 23,286,454,801
5. Step 5: Solve for x
   x = 23,286,454,801/102,142
6. Step 6: Final answer
   x = 227,981.19