Finding the Third Proportional to 56,625 and 123,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,625 : 123,213.50 = 123,213.50 : x
2. Step 2: Convert to fraction form
   56,625/123,213.50 = 123,213.50/x
3. Step 3: Cross multiply
   56,625x = 123,213.50 × 123,213.50
4. Step 4: Simplify right side
   56,625x = 15,181,566,582.25
5. Step 5: Solve for x
   x = 15,181,566,582.25/56,625
6. Step 6: Final answer
   x = 268,107.14