Finding the Third Proportional to 81,969 and 123,531

Step by Step Solution

1. Step 1: Write the proportion equation
   81,969 : 123,531 = 123,531 : x
2. Step 2: Convert to fraction form
   81,969/123,531 = 123,531/x
3. Step 3: Cross multiply
   81,969x = 123,531 × 123,531
4. Step 4: Simplify right side
   81,969x = 15,259,907,961
5. Step 5: Solve for x
   x = 15,259,907,961/81,969
6. Step 6: Final answer
   x = 186,166.82