Finding the Third Proportional to 83,734.50 and 113,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,734.50 : 113,704.50 = 113,704.50 : x
2. Step 2: Convert to fraction form
   83,734.50/113,704.50 = 113,704.50/x
3. Step 3: Cross multiply
   83,734.50x = 113,704.50 × 113,704.50
4. Step 4: Simplify right side
   83,734.50x = 12,928,713,320.25
5. Step 5: Solve for x
   x = 12,928,713,320.25/83,734.50
6. Step 6: Final answer
   x = 154,401.27