Finding the Third Proportional to 123,109.88 and 185,545.69

Step by Step Solution

1. Step 1: Write the proportion equation
   123,109.88 : 185,545.69 = 185,545.69 : x
2. Step 2: Convert to fraction form
   123,109.88/185,545.69 = 185,545.69/x
3. Step 3: Cross multiply
   123,109.88x = 185,545.69 × 185,545.69
4. Step 4: Simplify right side
   123,109.88x = 34,427,202,149.85
5. Step 5: Solve for x
   x = 34,427,202,149.85/123,109.88
6. Step 6: Final answer
   x = 279,646.15