Finding the Third Proportional to 329,003 and 714,382

Step by Step Solution

1. Step 1: Write the proportion equation
   329,003 : 714,382 = 714,382 : x
2. Step 2: Convert to fraction form
   329,003/714,382 = 714,382/x
3. Step 3: Cross multiply
   329,003x = 714,382 × 714,382
4. Step 4: Simplify right side
   329,003x = 510,341,641,924
5. Step 5: Solve for x
   x = 510,341,641,924/329,003
6. Step 6: Final answer
   x = 1,551,176.26