Finding the Third Proportional to 56,702 and 123,766

Step by Step Solution

1. Step 1: Write the proportion equation
   56,702 : 123,766 = 123,766 : x
2. Step 2: Convert to fraction form
   56,702/123,766 = 123,766/x
3. Step 3: Cross multiply
   56,702x = 123,766 × 123,766
4. Step 4: Simplify right side
   56,702x = 15,318,022,756
5. Step 5: Solve for x
   x = 15,318,022,756/56,702
6. Step 6: Final answer
   x = 270,149.60