Finding the Third Proportional to 103,942 and 224,516

Step by Step Solution

1. Step 1: Write the proportion equation
   103,942 : 224,516 = 224,516 : x
2. Step 2: Convert to fraction form
   103,942/224,516 = 224,516/x
3. Step 3: Cross multiply
   103,942x = 224,516 × 224,516
4. Step 4: Simplify right side
   103,942x = 50,407,434,256
5. Step 5: Solve for x
   x = 50,407,434,256/103,942
6. Step 6: Final answer
   x = 484,957.32