Finding the Third Proportional to 221,256 and 477,360

Step by Step Solution

1. Step 1: Write the proportion equation
   221,256 : 477,360 = 477,360 : x
2. Step 2: Convert to fraction form
   221,256/477,360 = 477,360/x
3. Step 3: Cross multiply
   221,256x = 477,360 × 477,360
4. Step 4: Simplify right side
   221,256x = 227,872,569,600
5. Step 5: Solve for x
   x = 227,872,569,600/221,256
6. Step 6: Final answer
   x = 1,029,904.59