Finding the Third Proportional to 78,972 and 171,065

Step by Step Solution

1. Step 1: Write the proportion equation
   78,972 : 171,065 = 171,065 : x
2. Step 2: Convert to fraction form
   78,972/171,065 = 171,065/x
3. Step 3: Cross multiply
   78,972x = 171,065 × 171,065
4. Step 4: Simplify right side
   78,972x = 29,263,234,225
5. Step 5: Solve for x
   x = 29,263,234,225/78,972
6. Step 6: Final answer
   x = 370,552.02