Finding the Third Proportional to 123,223.50 and 185,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,223.50 : 185,380.50 = 185,380.50 : x
2. Step 2: Convert to fraction form
   123,223.50/185,380.50 = 185,380.50/x
3. Step 3: Cross multiply
   123,223.50x = 185,380.50 × 185,380.50
4. Step 4: Simplify right side
   123,223.50x = 34,365,929,780.25
5. Step 5: Solve for x
   x = 34,365,929,780.25/123,223.50
6. Step 6: Final answer
   x = 278,891.04