Finding the Third Proportional to 89,890 and 199,733

Step by Step Solution

1. Step 1: Write the proportion equation
   89,890 : 199,733 = 199,733 : x
2. Step 2: Convert to fraction form
   89,890/199,733 = 199,733/x
3. Step 3: Cross multiply
   89,890x = 199,733 × 199,733
4. Step 4: Simplify right side
   89,890x = 39,893,271,289
5. Step 5: Solve for x
   x = 39,893,271,289/89,890
6. Step 6: Final answer
   x = 443,800.99