Finding the Third Proportional to 90,499 and 198,844

Step by Step Solution

1. Step 1: Write the proportion equation
   90,499 : 198,844 = 198,844 : x
2. Step 2: Convert to fraction form
   90,499/198,844 = 198,844/x
3. Step 3: Cross multiply
   90,499x = 198,844 × 198,844
4. Step 4: Simplify right side
   90,499x = 39,538,936,336
5. Step 5: Solve for x
   x = 39,538,936,336/90,499
6. Step 6: Final answer
   x = 436,899.15