Finding the Third Proportional to 102,386.25 and 152,789.63

Step by Step Solution

1. Step 1: Write the proportion equation
   102,386.25 : 152,789.63 = 152,789.63 : x
2. Step 2: Convert to fraction form
   102,386.25/152,789.63 = 152,789.63/x
3. Step 3: Cross multiply
   102,386.25x = 152,789.63 × 152,789.63
4. Step 4: Simplify right side
   102,386.25x = 23,344,669,507.64
5. Step 5: Solve for x
   x = 23,344,669,507.64/102,386.25
6. Step 6: Final answer
   x = 228,005.90