Finding the Third Proportional to 123,226.50 and 185,385

Step by Step Solution

1. Step 1: Write the proportion equation
   123,226.50 : 185,385 = 185,385 : x
2. Step 2: Convert to fraction form
   123,226.50/185,385 = 185,385/x
3. Step 3: Cross multiply
   123,226.50x = 185,385 × 185,385
4. Step 4: Simplify right side
   123,226.50x = 34,367,598,225
5. Step 5: Solve for x
   x = 34,367,598,225/123,226.50
6. Step 6: Final answer
   x = 278,897.79