Finding the Third Proportional to 49,651 and 108,225

Step by Step Solution

1. Step 1: Write the proportion equation
   49,651 : 108,225 = 108,225 : x
2. Step 2: Convert to fraction form
   49,651/108,225 = 108,225/x
3. Step 3: Cross multiply
   49,651x = 108,225 × 108,225
4. Step 4: Simplify right side
   49,651x = 11,712,650,625
5. Step 5: Solve for x
   x = 11,712,650,625/49,651
6. Step 6: Final answer
   x = 235,899.59