Finding the Third Proportional to 90,826 and 199,714

Step by Step Solution

1. Step 1: Write the proportion equation
   90,826 : 199,714 = 199,714 : x
2. Step 2: Convert to fraction form
   90,826/199,714 = 199,714/x
3. Step 3: Cross multiply
   90,826x = 199,714 × 199,714
4. Step 4: Simplify right side
   90,826x = 39,885,681,796
5. Step 5: Solve for x
   x = 39,885,681,796/90,826
6. Step 6: Final answer
   x = 439,143.88