Finding the Third Proportional to 55,636.50 and 123,711.75

Step by Step Solution

1. Step 1: Write the proportion equation
   55,636.50 : 123,711.75 = 123,711.75 : x
2. Step 2: Convert to fraction form
   55,636.50/123,711.75 = 123,711.75/x
3. Step 3: Cross multiply
   55,636.50x = 123,711.75 × 123,711.75
4. Step 4: Simplify right side
   55,636.50x = 15,304,597,088.06
5. Step 5: Solve for x
   x = 15,304,597,088.06/55,636.50
6. Step 6: Final answer
   x = 275,081.95