Finding the Third Proportional to 72,123 and 111,965

Step by Step Solution

1. Step 1: Write the proportion equation
   72,123 : 111,965 = 111,965 : x
2. Step 2: Convert to fraction form
   72,123/111,965 = 111,965/x
3. Step 3: Cross multiply
   72,123x = 111,965 × 111,965
4. Step 4: Simplify right side
   72,123x = 12,536,161,225
5. Step 5: Solve for x
   x = 12,536,161,225/72,123
6. Step 6: Final answer
   x = 173,816.41