Finding the Third Proportional to 103,634 and 274,280

Step by Step Solution

1. Step 1: Write the proportion equation
   103,634 : 274,280 = 274,280 : x
2. Step 2: Convert to fraction form
   103,634/274,280 = 274,280/x
3. Step 3: Cross multiply
   103,634x = 274,280 × 274,280
4. Step 4: Simplify right side
   103,634x = 75,229,518,400
5. Step 5: Solve for x
   x = 75,229,518,400/103,634
6. Step 6: Final answer
   x = 725,915.42