Finding the Third Proportional to 90,844 and 199,184

Step by Step Solution

1. Step 1: Write the proportion equation
   90,844 : 199,184 = 199,184 : x
2. Step 2: Convert to fraction form
   90,844/199,184 = 199,184/x
3. Step 3: Cross multiply
   90,844x = 199,184 × 199,184
4. Step 4: Simplify right side
   90,844x = 39,674,265,856
5. Step 5: Solve for x
   x = 39,674,265,856/90,844
6. Step 6: Final answer
   x = 436,729.62