Finding the Third Proportional to 221,280 and 318,096

Step by Step Solution

1. Step 1: Write the proportion equation
   221,280 : 318,096 = 318,096 : x
2. Step 2: Convert to fraction form
   221,280/318,096 = 318,096/x
3. Step 3: Cross multiply
   221,280x = 318,096 × 318,096
4. Step 4: Simplify right side
   221,280x = 101,185,065,216
5. Step 5: Solve for x
   x = 101,185,065,216/221,280
6. Step 6: Final answer
   x = 457,271.63