Finding the Third Proportional to 98,990 and 215,846

Step by Step Solution

1. Step 1: Write the proportion equation
   98,990 : 215,846 = 215,846 : x
2. Step 2: Convert to fraction form
   98,990/215,846 = 215,846/x
3. Step 3: Cross multiply
   98,990x = 215,846 × 215,846
4. Step 4: Simplify right side
   98,990x = 46,589,495,716
5. Step 5: Solve for x
   x = 46,589,495,716/98,990
6. Step 6: Final answer
   x = 470,648.51