Finding the Third Proportional to 83,742 and 113,716

Step by Step Solution

1. Step 1: Write the proportion equation
   83,742 : 113,716 = 113,716 : x
2. Step 2: Convert to fraction form
   83,742/113,716 = 113,716/x
3. Step 3: Cross multiply
   83,742x = 113,716 × 113,716
4. Step 4: Simplify right side
   83,742x = 12,931,328,656
5. Step 5: Solve for x
   x = 12,931,328,656/83,742
6. Step 6: Final answer
   x = 154,418.67