Finding the Third Proportional to 55,644.75 and 123,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,644.75 : 123,727.50 = 123,727.50 : x
2. Step 2: Convert to fraction form
   55,644.75/123,727.50 = 123,727.50/x
3. Step 3: Cross multiply
   55,644.75x = 123,727.50 × 123,727.50
4. Step 4: Simplify right side
   55,644.75x = 15,308,494,256.25
5. Step 5: Solve for x
   x = 15,308,494,256.25/55,644.75
6. Step 6: Final answer
   x = 275,111.21