Finding the Third Proportional to 89,304 and 192,432

Step by Step Solution

1. Step 1: Write the proportion equation
   89,304 : 192,432 = 192,432 : x
2. Step 2: Convert to fraction form
   89,304/192,432 = 192,432/x
3. Step 3: Cross multiply
   89,304x = 192,432 × 192,432
4. Step 4: Simplify right side
   89,304x = 37,030,074,624
5. Step 5: Solve for x
   x = 37,030,074,624/89,304
6. Step 6: Final answer
   x = 414,651.92