Finding the Third Proportional to 156,737 and 333,442

Step by Step Solution

1. Step 1: Write the proportion equation
   156,737 : 333,442 = 333,442 : x
2. Step 2: Convert to fraction form
   156,737/333,442 = 333,442/x
3. Step 3: Cross multiply
   156,737x = 333,442 × 333,442
4. Step 4: Simplify right side
   156,737x = 111,183,567,364
5. Step 5: Solve for x
   x = 111,183,567,364/156,737
6. Step 6: Final answer
   x = 709,363.89