Finding the Third Proportional to 83,061 and 124,695

Step by Step Solution

1. Step 1: Write the proportion equation
   83,061 : 124,695 = 124,695 : x
2. Step 2: Convert to fraction form
   83,061/124,695 = 124,695/x
3. Step 3: Cross multiply
   83,061x = 124,695 × 124,695
4. Step 4: Simplify right side
   83,061x = 15,548,843,025
5. Step 5: Solve for x
   x = 15,548,843,025/83,061
6. Step 6: Final answer
   x = 187,197.88