Finding the Third Proportional to 478,864 and 714,144

Step by Step Solution

1. Step 1: Write the proportion equation
   478,864 : 714,144 = 714,144 : x
2. Step 2: Convert to fraction form
   478,864/714,144 = 714,144/x
3. Step 3: Cross multiply
   478,864x = 714,144 × 714,144
4. Step 4: Simplify right side
   478,864x = 510,001,652,736
5. Step 5: Solve for x
   x = 510,001,652,736/478,864
6. Step 6: Final answer
   x = 1,065,024