Finding the Third Proportional to 89,890 and 199,732

Step by Step Solution

1. Step 1: Write the proportion equation
   89,890 : 199,732 = 199,732 : x
2. Step 2: Convert to fraction form
   89,890/199,732 = 199,732/x
3. Step 3: Cross multiply
   89,890x = 199,732 × 199,732
4. Step 4: Simplify right side
   89,890x = 39,892,871,824
5. Step 5: Solve for x
   x = 39,892,871,824/89,890
6. Step 6: Final answer
   x = 443,796.55