Finding the Third Proportional to 83,180 and 124,662

Step by Step Solution

1. Step 1: Write the proportion equation
   83,180 : 124,662 = 124,662 : x
2. Step 2: Convert to fraction form
   83,180/124,662 = 124,662/x
3. Step 3: Cross multiply
   83,180x = 124,662 × 124,662
4. Step 4: Simplify right side
   83,180x = 15,540,614,244
5. Step 5: Solve for x
   x = 15,540,614,244/83,180
6. Step 6: Final answer
   x = 186,831.14