Finding the Third Proportional to 333,582 and 729,462

Step by Step Solution

1. Step 1: Write the proportion equation
   333,582 : 729,462 = 729,462 : x
2. Step 2: Convert to fraction form
   333,582/729,462 = 729,462/x
3. Step 3: Cross multiply
   333,582x = 729,462 × 729,462
4. Step 4: Simplify right side
   333,582x = 532,114,809,444
5. Step 5: Solve for x
   x = 532,114,809,444/333,582
6. Step 6: Final answer
   x = 1,595,154.44