Finding the Third Proportional to 102,586.50 and 153,469.69

Step by Step Solution

1. Step 1: Write the proportion equation
   102,586.50 : 153,469.69 = 153,469.69 : x
2. Step 2: Convert to fraction form
   102,586.50/153,469.69 = 153,469.69/x
3. Step 3: Cross multiply
   102,586.50x = 153,469.69 × 153,469.69
4. Step 4: Simplify right side
   102,586.50x = 23,552,944,981.35
5. Step 5: Solve for x
   x = 23,552,944,981.35/102,586.50
6. Step 6: Final answer
   x = 229,591.08