Finding the Third Proportional to 123,233.06 and 198,403.59

Step by Step Solution

1. Step 1: Write the proportion equation
   123,233.06 : 198,403.59 = 198,403.59 : x
2. Step 2: Convert to fraction form
   123,233.06/198,403.59 = 198,403.59/x
3. Step 3: Cross multiply
   123,233.06x = 198,403.59 × 198,403.59
4. Step 4: Simplify right side
   123,233.06x = 39,363,986,012.92
5. Step 5: Solve for x
   x = 39,363,986,012.92/123,233.06
6. Step 6: Final answer
   x = 319,427.15