Finding the Third Proportional to 478,384 and 740,256

Step by Step Solution

1. Step 1: Write the proportion equation
   478,384 : 740,256 = 740,256 : x
2. Step 2: Convert to fraction form
   478,384/740,256 = 740,256/x
3. Step 3: Cross multiply
   478,384x = 740,256 × 740,256
4. Step 4: Simplify right side
   478,384x = 547,978,945,536
5. Step 5: Solve for x
   x = 547,978,945,536/478,384
6. Step 6: Final answer
   x = 1,145,479.25