Finding the Third Proportional to 72,972 and 119,142

Step by Step Solution

1. Step 1: Write the proportion equation
   72,972 : 119,142 = 119,142 : x
2. Step 2: Convert to fraction form
   72,972/119,142 = 119,142/x
3. Step 3: Cross multiply
   72,972x = 119,142 × 119,142
4. Step 4: Simplify right side
   72,972x = 14,194,816,164
5. Step 5: Solve for x
   x = 14,194,816,164/72,972
6. Step 6: Final answer
   x = 194,524.15