Finding the Third Proportional to 89,946 and 198,002.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,946 : 198,002.25 = 198,002.25 : x
2. Step 2: Convert to fraction form
   89,946/198,002.25 = 198,002.25/x
3. Step 3: Cross multiply
   89,946x = 198,002.25 × 198,002.25
4. Step 4: Simplify right side
   89,946x = 39,204,891,005.06
5. Step 5: Solve for x
   x = 39,204,891,005.06/89,946
6. Step 6: Final answer
   x = 435,871.42