Finding the Third Proportional to 88,316 and 192,496

Step by Step Solution

1. Step 1: Write the proportion equation
   88,316 : 192,496 = 192,496 : x
2. Step 2: Convert to fraction form
   88,316/192,496 = 192,496/x
3. Step 3: Cross multiply
   88,316x = 192,496 × 192,496
4. Step 4: Simplify right side
   88,316x = 37,054,710,016
5. Step 5: Solve for x
   x = 37,054,710,016/88,316
6. Step 6: Final answer
   x = 419,569.61