Finding the Third Proportional to 123,218 and 185,703

Step by Step Solution

1. Step 1: Write the proportion equation
   123,218 : 185,703 = 185,703 : x
2. Step 2: Convert to fraction form
   123,218/185,703 = 185,703/x
3. Step 3: Cross multiply
   123,218x = 185,703 × 185,703
4. Step 4: Simplify right side
   123,218x = 34,485,604,209
5. Step 5: Solve for x
   x = 34,485,604,209/123,218
6. Step 6: Final answer
   x = 279,874.73