Finding the Third Proportional to 49,792 and 109,400

Step by Step Solution

1. Step 1: Write the proportion equation
   49,792 : 109,400 = 109,400 : x
2. Step 2: Convert to fraction form
   49,792/109,400 = 109,400/x
3. Step 3: Cross multiply
   49,792x = 109,400 × 109,400
4. Step 4: Simplify right side
   49,792x = 11,968,360,000
5. Step 5: Solve for x
   x = 11,968,360,000/49,792
6. Step 6: Final answer
   x = 240,367.13