Finding the Third Proportional to 103,638 and 274,290

Step by Step Solution

1. Step 1: Write the proportion equation
   103,638 : 274,290 = 274,290 : x
2. Step 2: Convert to fraction form
   103,638/274,290 = 274,290/x
3. Step 3: Cross multiply
   103,638x = 274,290 × 274,290
4. Step 4: Simplify right side
   103,638x = 75,235,004,100
5. Step 5: Solve for x
   x = 75,235,004,100/103,638
6. Step 6: Final answer
   x = 725,940.33