Finding the Third Proportional to 56,781 and 123,504.75

Step by Step Solution

1. Step 1: Write the proportion equation
   56,781 : 123,504.75 = 123,504.75 : x
2. Step 2: Convert to fraction form
   56,781/123,504.75 = 123,504.75/x
3. Step 3: Cross multiply
   56,781x = 123,504.75 × 123,504.75
4. Step 4: Simplify right side
   56,781x = 15,253,423,272.56
5. Step 5: Solve for x
   x = 15,253,423,272.56/56,781
6. Step 6: Final answer
   x = 268,636.05