Finding the Third Proportional to 56,766 and 121,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,766 : 121,687.50 = 121,687.50 : x
2. Step 2: Convert to fraction form
   56,766/121,687.50 = 121,687.50/x
3. Step 3: Cross multiply
   56,766x = 121,687.50 × 121,687.50
4. Step 4: Simplify right side
   56,766x = 14,807,847,656.25
5. Step 5: Solve for x
   x = 14,807,847,656.25/56,766
6. Step 6: Final answer
   x = 260,857.69