Finding the Third Proportional to 221,078 and 477,380

Step by Step Solution

1. Step 1: Write the proportion equation
   221,078 : 477,380 = 477,380 : x
2. Step 2: Convert to fraction form
   221,078/477,380 = 477,380/x
3. Step 3: Cross multiply
   221,078x = 477,380 × 477,380
4. Step 4: Simplify right side
   221,078x = 227,891,664,400
5. Step 5: Solve for x
   x = 227,891,664,400/221,078
6. Step 6: Final answer
   x = 1,030,820.18