Finding the Third Proportional to 102,685 and 152,521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,685 : 152,521.50 = 152,521.50 : x
2. Step 2: Convert to fraction form
   102,685/152,521.50 = 152,521.50/x
3. Step 3: Cross multiply
   102,685x = 152,521.50 × 152,521.50
4. Step 4: Simplify right side
   102,685x = 23,262,807,962.25
5. Step 5: Solve for x
   x = 23,262,807,962.25/102,685
6. Step 6: Final answer
   x = 226,545.34