Finding the Third Proportional to 156,978 and 343,116

Step by Step Solution

1. Step 1: Write the proportion equation
   156,978 : 343,116 = 343,116 : x
2. Step 2: Convert to fraction form
   156,978/343,116 = 343,116/x
3. Step 3: Cross multiply
   156,978x = 343,116 × 343,116
4. Step 4: Simplify right side
   156,978x = 117,728,589,456
5. Step 5: Solve for x
   x = 117,728,589,456/156,978
6. Step 6: Final answer
   x = 749,968.72