Finding the Third Proportional to 81,741 and 124,986

Step by Step Solution

1. Step 1: Write the proportion equation
   81,741 : 124,986 = 124,986 : x
2. Step 2: Convert to fraction form
   81,741/124,986 = 124,986/x
3. Step 3: Cross multiply
   81,741x = 124,986 × 124,986
4. Step 4: Simplify right side
   81,741x = 15,621,500,196
5. Step 5: Solve for x
   x = 15,621,500,196/81,741
6. Step 6: Final answer
   x = 191,109.73