Finding the Third Proportional to 85,616 and 113,604

Step by Step Solution

1. Step 1: Write the proportion equation
   85,616 : 113,604 = 113,604 : x
2. Step 2: Convert to fraction form
   85,616/113,604 = 113,604/x
3. Step 3: Cross multiply
   85,616x = 113,604 × 113,604
4. Step 4: Simplify right side
   85,616x = 12,905,868,816
5. Step 5: Solve for x
   x = 12,905,868,816/85,616
6. Step 6: Final answer
   x = 150,741.32