Finding the Third Proportional to 89,880 and 194,496

Step by Step Solution

1. Step 1: Write the proportion equation
   89,880 : 194,496 = 194,496 : x
2. Step 2: Convert to fraction form
   89,880/194,496 = 194,496/x
3. Step 3: Cross multiply
   89,880x = 194,496 × 194,496
4. Step 4: Simplify right side
   89,880x = 37,828,694,016
5. Step 5: Solve for x
   x = 37,828,694,016/89,880
6. Step 6: Final answer
   x = 420,880.00