Finding the Third Proportional to 102,115.69 and 152,659.69

Step by Step Solution

1. Step 1: Write the proportion equation
   102,115.69 : 152,659.69 = 152,659.69 : x
2. Step 2: Convert to fraction form
   102,115.69/152,659.69 = 152,659.69/x
3. Step 3: Cross multiply
   102,115.69x = 152,659.69 × 152,659.69
4. Step 4: Simplify right side
   102,115.69x = 23,304,980,187.60
5. Step 5: Solve for x
   x = 23,304,980,187.60/102,115.69
6. Step 6: Final answer
   x = 228,221.35