Finding the Third Proportional to 156,676 and 344,456

Step by Step Solution

1. Step 1: Write the proportion equation
   156,676 : 344,456 = 344,456 : x
2. Step 2: Convert to fraction form
   156,676/344,456 = 344,456/x
3. Step 3: Cross multiply
   156,676x = 344,456 × 344,456
4. Step 4: Simplify right side
   156,676x = 118,649,935,936
5. Step 5: Solve for x
   x = 118,649,935,936/156,676
6. Step 6: Final answer
   x = 757,294.90