Finding the Third Proportional to 49,662 and 108,080

Step by Step Solution

1. Step 1: Write the proportion equation
   49,662 : 108,080 = 108,080 : x
2. Step 2: Convert to fraction form
   49,662/108,080 = 108,080/x
3. Step 3: Cross multiply
   49,662x = 108,080 × 108,080
4. Step 4: Simplify right side
   49,662x = 11,681,286,400
5. Step 5: Solve for x
   x = 11,681,286,400/49,662
6. Step 6: Final answer
   x = 235,215.79