Finding the Third Proportional to 105,532 and 224,792

Step by Step Solution

1. Step 1: Write the proportion equation
   105,532 : 224,792 = 224,792 : x
2. Step 2: Convert to fraction form
   105,532/224,792 = 224,792/x
3. Step 3: Cross multiply
   105,532x = 224,792 × 224,792
4. Step 4: Simplify right side
   105,532x = 50,531,443,264
5. Step 5: Solve for x
   x = 50,531,443,264/105,532
6. Step 6: Final answer
   x = 478,825.79