Finding the Third Proportional to 156,968 and 333,538

Step by Step Solution

1. Step 1: Write the proportion equation
   156,968 : 333,538 = 333,538 : x
2. Step 2: Convert to fraction form
   156,968/333,538 = 333,538/x
3. Step 3: Cross multiply
   156,968x = 333,538 × 333,538
4. Step 4: Simplify right side
   156,968x = 111,247,597,444
5. Step 5: Solve for x
   x = 111,247,597,444/156,968
6. Step 6: Final answer
   x = 708,727.88