Finding the Third Proportional to 83,854 and 113,941

Step by Step Solution

1. Step 1: Write the proportion equation
   83,854 : 113,941 = 113,941 : x
2. Step 2: Convert to fraction form
   83,854/113,941 = 113,941/x
3. Step 3: Cross multiply
   83,854x = 113,941 × 113,941
4. Step 4: Simplify right side
   83,854x = 12,982,551,481
5. Step 5: Solve for x
   x = 12,982,551,481/83,854
6. Step 6: Final answer
   x = 154,823.28