Finding the Third Proportional to 55,494 and 122,300

Step by Step Solution

1. Step 1: Write the proportion equation
   55,494 : 122,300 = 122,300 : x
2. Step 2: Convert to fraction form
   55,494/122,300 = 122,300/x
3. Step 3: Cross multiply
   55,494x = 122,300 × 122,300
4. Step 4: Simplify right side
   55,494x = 14,957,290,000
5. Step 5: Solve for x
   x = 14,957,290,000/55,494
6. Step 6: Final answer
   x = 269,529.86