Finding the Third Proportional to 56,227.50 and 120,792

Step by Step Solution

1. Step 1: Write the proportion equation
   56,227.50 : 120,792 = 120,792 : x
2. Step 2: Convert to fraction form
   56,227.50/120,792 = 120,792/x
3. Step 3: Cross multiply
   56,227.50x = 120,792 × 120,792
4. Step 4: Simplify right side
   56,227.50x = 14,590,707,264
5. Step 5: Solve for x
   x = 14,590,707,264/56,227.50
6. Step 6: Final answer
   x = 259,494.15