Finding the Third Proportional to 83,856 and 124,644

Step by Step Solution

1. Step 1: Write the proportion equation
   83,856 : 124,644 = 124,644 : x
2. Step 2: Convert to fraction form
   83,856/124,644 = 124,644/x
3. Step 3: Cross multiply
   83,856x = 124,644 × 124,644
4. Step 4: Simplify right side
   83,856x = 15,536,126,736
5. Step 5: Solve for x
   x = 15,536,126,736/83,856
6. Step 6: Final answer
   x = 185,271.50