Finding the Third Proportional to 83,737 and 113,707

Step by Step Solution

1. Step 1: Write the proportion equation
   83,737 : 113,707 = 113,707 : x
2. Step 2: Convert to fraction form
   83,737/113,707 = 113,707/x
3. Step 3: Cross multiply
   83,737x = 113,707 × 113,707
4. Step 4: Simplify right side
   83,737x = 12,929,281,849
5. Step 5: Solve for x
   x = 12,929,281,849/83,737
6. Step 6: Final answer
   x = 154,403.45