Finding the Third Proportional to 83,856 and 113,944

Step by Step Solution

1. Step 1: Write the proportion equation
   83,856 : 113,944 = 113,944 : x
2. Step 2: Convert to fraction form
   83,856/113,944 = 113,944/x
3. Step 3: Cross multiply
   83,856x = 113,944 × 113,944
4. Step 4: Simplify right side
   83,856x = 12,983,235,136
5. Step 5: Solve for x
   x = 12,983,235,136/83,856
6. Step 6: Final answer
   x = 154,827.74