Finding the Third Proportional to 49,531 and 108,089

Step by Step Solution

1. Step 1: Write the proportion equation
   49,531 : 108,089 = 108,089 : x
2. Step 2: Convert to fraction form
   49,531/108,089 = 108,089/x
3. Step 3: Cross multiply
   49,531x = 108,089 × 108,089
4. Step 4: Simplify right side
   49,531x = 11,683,231,921
5. Step 5: Solve for x
   x = 11,683,231,921/49,531
6. Step 6: Final answer
   x = 235,877.17