Finding the Third Proportional to 156,741 and 342,642

Step by Step Solution

1. Step 1: Write the proportion equation
   156,741 : 342,642 = 342,642 : x
2. Step 2: Convert to fraction form
   156,741/342,642 = 342,642/x
3. Step 3: Cross multiply
   156,741x = 342,642 × 342,642
4. Step 4: Simplify right side
   156,741x = 117,403,540,164
5. Step 5: Solve for x
   x = 117,403,540,164/156,741
6. Step 6: Final answer
   x = 749,028.91