Finding the Third Proportional to 78,629 and 171,082

Step by Step Solution

1. Step 1: Write the proportion equation
   78,629 : 171,082 = 171,082 : x
2. Step 2: Convert to fraction form
   78,629/171,082 = 171,082/x
3. Step 3: Cross multiply
   78,629x = 171,082 × 171,082
4. Step 4: Simplify right side
   78,629x = 29,269,050,724
5. Step 5: Solve for x
   x = 29,269,050,724/78,629
6. Step 6: Final answer
   x = 372,242.44