Finding the Third Proportional to 156,723 and 333,414

Step by Step Solution

1. Step 1: Write the proportion equation
   156,723 : 333,414 = 333,414 : x
2. Step 2: Convert to fraction form
   156,723/333,414 = 333,414/x
3. Step 3: Cross multiply
   156,723x = 333,414 × 333,414
4. Step 4: Simplify right side
   156,723x = 111,164,895,396
5. Step 5: Solve for x
   x = 111,164,895,396/156,723
6. Step 6: Final answer
   x = 709,308.11