Finding the Third Proportional to 47,240 and 102,792

Step by Step Solution

1. Step 1: Write the proportion equation
   47,240 : 102,792 = 102,792 : x
2. Step 2: Convert to fraction form
   47,240/102,792 = 102,792/x
3. Step 3: Cross multiply
   47,240x = 102,792 × 102,792
4. Step 4: Simplify right side
   47,240x = 10,566,195,264
5. Step 5: Solve for x
   x = 10,566,195,264/47,240
6. Step 6: Final answer
   x = 223,670.52