Finding the Third Proportional to 56,165 and 120,227.25

Step by Step Solution

1. Step 1: Write the proportion equation
   56,165 : 120,227.25 = 120,227.25 : x
2. Step 2: Convert to fraction form
   56,165/120,227.25 = 120,227.25/x
3. Step 3: Cross multiply
   56,165x = 120,227.25 × 120,227.25
4. Step 4: Simplify right side
   56,165x = 14,454,591,642.56
5. Step 5: Solve for x
   x = 14,454,591,642.56/56,165
6. Step 6: Final answer
   x = 257,359.42