Finding the Third Proportional to 72,016 and 156,944

Step by Step Solution

1. Step 1: Write the proportion equation
   72,016 : 156,944 = 156,944 : x
2. Step 2: Convert to fraction form
   72,016/156,944 = 156,944/x
3. Step 3: Cross multiply
   72,016x = 156,944 × 156,944
4. Step 4: Simplify right side
   72,016x = 24,631,419,136
5. Step 5: Solve for x
   x = 24,631,419,136/72,016
6. Step 6: Final answer
   x = 342,027.04