Finding the Third Proportional to 55,589.25 and 123,612.75

Step by Step Solution

1. Step 1: Write the proportion equation
   55,589.25 : 123,612.75 = 123,612.75 : x
2. Step 2: Convert to fraction form
   55,589.25/123,612.75 = 123,612.75/x
3. Step 3: Cross multiply
   55,589.25x = 123,612.75 × 123,612.75
4. Step 4: Simplify right side
   55,589.25x = 15,280,111,962.56
5. Step 5: Solve for x
   x = 15,280,111,962.56/55,589.25
6. Step 6: Final answer
   x = 274,875.30