Finding the Third Proportional to 478,857 and 714,132

Step by Step Solution

1. Step 1: Write the proportion equation
   478,857 : 714,132 = 714,132 : x
2. Step 2: Convert to fraction form
   478,857/714,132 = 714,132/x
3. Step 3: Cross multiply
   478,857x = 714,132 × 714,132
4. Step 4: Simplify right side
   478,857x = 509,984,513,424
5. Step 5: Solve for x
   x = 509,984,513,424/478,857
6. Step 6: Final answer
   x = 1,065,003.78