Finding the Third Proportional to 156,948 and 333,498

Step by Step Solution

1. Step 1: Write the proportion equation
   156,948 : 333,498 = 333,498 : x
2. Step 2: Convert to fraction form
   156,948/333,498 = 333,498/x
3. Step 3: Cross multiply
   156,948x = 333,498 × 333,498
4. Step 4: Simplify right side
   156,948x = 111,220,916,004
5. Step 5: Solve for x
   x = 111,220,916,004/156,948
6. Step 6: Final answer
   x = 708,648.19