Finding the Third Proportional to 478,856 and 714,131

Step by Step Solution

1. Step 1: Write the proportion equation
   478,856 : 714,131 = 714,131 : x
2. Step 2: Convert to fraction form
   478,856/714,131 = 714,131/x
3. Step 3: Cross multiply
   478,856x = 714,131 × 714,131
4. Step 4: Simplify right side
   478,856x = 509,983,085,161
5. Step 5: Solve for x
   x = 509,983,085,161/478,856
6. Step 6: Final answer
   x = 1,065,003.02