Finding the Third Proportional to 89,078 and 192,700

Step by Step Solution

1. Step 1: Write the proportion equation
   89,078 : 192,700 = 192,700 : x
2. Step 2: Convert to fraction form
   89,078/192,700 = 192,700/x
3. Step 3: Cross multiply
   89,078x = 192,700 × 192,700
4. Step 4: Simplify right side
   89,078x = 37,133,290,000
5. Step 5: Solve for x
   x = 37,133,290,000/89,078
6. Step 6: Final answer
   x = 416,862.64