Finding the Third Proportional to 156,740 and 342,638

Step by Step Solution

1. Step 1: Write the proportion equation
   156,740 : 342,638 = 342,638 : x
2. Step 2: Convert to fraction form
   156,740/342,638 = 342,638/x
3. Step 3: Cross multiply
   156,740x = 342,638 × 342,638
4. Step 4: Simplify right side
   156,740x = 117,400,799,044
5. Step 5: Solve for x
   x = 117,400,799,044/156,740
6. Step 6: Final answer
   x = 749,016.20