Finding the Third Proportional to 334,426 and 714,212

Step by Step Solution

1. Step 1: Write the proportion equation
   334,426 : 714,212 = 714,212 : x
2. Step 2: Convert to fraction form
   334,426/714,212 = 714,212/x
3. Step 3: Cross multiply
   334,426x = 714,212 × 714,212
4. Step 4: Simplify right side
   334,426x = 510,098,780,944
5. Step 5: Solve for x
   x = 510,098,780,944/334,426
6. Step 6: Final answer
   x = 1,525,296.42