Finding the Third Proportional to 102,016.50 and 153,025.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,016.50 : 153,025.25 = 153,025.25 : x
2. Step 2: Convert to fraction form
   102,016.50/153,025.25 = 153,025.25/x
3. Step 3: Cross multiply
   102,016.50x = 153,025.25 × 153,025.25
4. Step 4: Simplify right side
   102,016.50x = 23,416,727,137.56
5. Step 5: Solve for x
   x = 23,416,727,137.56/102,016.50
6. Step 6: Final answer
   x = 229,538.63