Finding the Third Proportional to 90,146 and 192,356

Step by Step Solution

1. Step 1: Write the proportion equation
   90,146 : 192,356 = 192,356 : x
2. Step 2: Convert to fraction form
   90,146/192,356 = 192,356/x
3. Step 3: Cross multiply
   90,146x = 192,356 × 192,356
4. Step 4: Simplify right side
   90,146x = 37,000,830,736
5. Step 5: Solve for x
   x = 37,000,830,736/90,146
6. Step 6: Final answer
   x = 410,454.49