Finding the Third Proportional to 113,896.50 and 169,920

Step by Step Solution

1. Step 1: Write the proportion equation
   113,896.50 : 169,920 = 169,920 : x
2. Step 2: Convert to fraction form
   113,896.50/169,920 = 169,920/x
3. Step 3: Cross multiply
   113,896.50x = 169,920 × 169,920
4. Step 4: Simplify right side
   113,896.50x = 28,872,806,400
5. Step 5: Solve for x
   x = 28,872,806,400/113,896.50
6. Step 6: Final answer
   x = 253,500.38