Finding the Third Proportional to 123,433.50 and 165,123.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,433.50 : 165,123.75 = 165,123.75 : x
2. Step 2: Convert to fraction form
   123,433.50/165,123.75 = 165,123.75/x
3. Step 3: Cross multiply
   123,433.50x = 165,123.75 × 165,123.75
4. Step 4: Simplify right side
   123,433.50x = 27,265,852,814.06
5. Step 5: Solve for x
   x = 27,265,852,814.06/123,433.50
6. Step 6: Final answer
   x = 220,895.08