Finding the Third Proportional to 333,864 and 707,454

Step by Step Solution

1. Step 1: Write the proportion equation
   333,864 : 707,454 = 707,454 : x
2. Step 2: Convert to fraction form
   333,864/707,454 = 707,454/x
3. Step 3: Cross multiply
   333,864x = 707,454 × 707,454
4. Step 4: Simplify right side
   333,864x = 500,491,162,116
5. Step 5: Solve for x
   x = 500,491,162,116/333,864
6. Step 6: Final answer
   x = 1,499,086.94