Finding the Third Proportional to 89,082 and 192,708

Step by Step Solution

1. Step 1: Write the proportion equation
   89,082 : 192,708 = 192,708 : x
2. Step 2: Convert to fraction form
   89,082/192,708 = 192,708/x
3. Step 3: Cross multiply
   89,082x = 192,708 × 192,708
4. Step 4: Simplify right side
   89,082x = 37,136,373,264
5. Step 5: Solve for x
   x = 37,136,373,264/89,082
6. Step 6: Final answer
   x = 416,878.53