Finding the Third Proportional to 49,365 and 108,566

Step by Step Solution

1. Step 1: Write the proportion equation
   49,365 : 108,566 = 108,566 : x
2. Step 2: Convert to fraction form
   49,365/108,566 = 108,566/x
3. Step 3: Cross multiply
   49,365x = 108,566 × 108,566
4. Step 4: Simplify right side
   49,365x = 11,786,576,356
5. Step 5: Solve for x
   x = 11,786,576,356/49,365
6. Step 6: Final answer
   x = 238,763.83