Finding the Third Proportional to 83,856 and 124,642

Step by Step Solution

1. Step 1: Write the proportion equation
   83,856 : 124,642 = 124,642 : x
2. Step 2: Convert to fraction form
   83,856/124,642 = 124,642/x
3. Step 3: Cross multiply
   83,856x = 124,642 × 124,642
4. Step 4: Simplify right side
   83,856x = 15,535,628,164
5. Step 5: Solve for x
   x = 15,535,628,164/83,856
6. Step 6: Final answer
   x = 185,265.55