Finding the Third Proportional to 89,884 and 195,046.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,884 : 195,046.25 = 195,046.25 : x
2. Step 2: Convert to fraction form
   89,884/195,046.25 = 195,046.25/x
3. Step 3: Cross multiply
   89,884x = 195,046.25 × 195,046.25
4. Step 4: Simplify right side
   89,884x = 38,043,039,639.06
5. Step 5: Solve for x
   x = 38,043,039,639.06/89,884
6. Step 6: Final answer
   x = 423,245.96