Finding the Third Proportional to 56,778 and 123,214.75

Step by Step Solution

1. Step 1: Write the proportion equation
   56,778 : 123,214.75 = 123,214.75 : x
2. Step 2: Convert to fraction form
   56,778/123,214.75 = 123,214.75/x
3. Step 3: Cross multiply
   56,778x = 123,214.75 × 123,214.75
4. Step 4: Simplify right side
   56,778x = 15,181,874,617.56
5. Step 5: Solve for x
   x = 15,181,874,617.56/56,778
6. Step 6: Final answer
   x = 267,390.09