Finding the Third Proportional to 56,920 and 123,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,920 : 123,872.50 = 123,872.50 : x
2. Step 2: Convert to fraction form
   56,920/123,872.50 = 123,872.50/x
3. Step 3: Cross multiply
   56,920x = 123,872.50 × 123,872.50
4. Step 4: Simplify right side
   56,920x = 15,344,396,256.25
5. Step 5: Solve for x
   x = 15,344,396,256.25/56,920
6. Step 6: Final answer
   x = 269,578.29