Finding the Third Proportional to 156,981 and 333,564

Step by Step Solution

1. Step 1: Write the proportion equation
   156,981 : 333,564 = 333,564 : x
2. Step 2: Convert to fraction form
   156,981/333,564 = 333,564/x
3. Step 3: Cross multiply
   156,981x = 333,564 × 333,564
4. Step 4: Simplify right side
   156,981x = 111,264,942,096
5. Step 5: Solve for x
   x = 111,264,942,096/156,981
6. Step 6: Final answer
   x = 708,779.67