Finding the Third Proportional to 329,005 and 714,386

Step by Step Solution

1. Step 1: Write the proportion equation
   329,005 : 714,386 = 714,386 : x
2. Step 2: Convert to fraction form
   329,005/714,386 = 714,386/x
3. Step 3: Cross multiply
   329,005x = 714,386 × 714,386
4. Step 4: Simplify right side
   329,005x = 510,347,356,996
5. Step 5: Solve for x
   x = 510,347,356,996/329,005
6. Step 6: Final answer
   x = 1,551,184.20