Finding the Third Proportional to 89,300 and 198,184

Step by Step Solution

1. Step 1: Write the proportion equation
   89,300 : 198,184 = 198,184 : x
2. Step 2: Convert to fraction form
   89,300/198,184 = 198,184/x
3. Step 3: Cross multiply
   89,300x = 198,184 × 198,184
4. Step 4: Simplify right side
   89,300x = 39,276,897,856
5. Step 5: Solve for x
   x = 39,276,897,856/89,300
6. Step 6: Final answer
   x = 439,830.88