Finding the Third Proportional to 49,665 and 108,255

Step by Step Solution

1. Step 1: Write the proportion equation
   49,665 : 108,255 = 108,255 : x
2. Step 2: Convert to fraction form
   49,665/108,255 = 108,255/x
3. Step 3: Cross multiply
   49,665x = 108,255 × 108,255
4. Step 4: Simplify right side
   49,665x = 11,719,145,025
5. Step 5: Solve for x
   x = 11,719,145,025/49,665
6. Step 6: Final answer
   x = 235,963.86