Finding the Third Proportional to 98,385 and 215,238

Step by Step Solution

1. Step 1: Write the proportion equation
   98,385 : 215,238 = 215,238 : x
2. Step 2: Convert to fraction form
   98,385/215,238 = 215,238/x
3. Step 3: Cross multiply
   98,385x = 215,238 × 215,238
4. Step 4: Simplify right side
   98,385x = 46,327,396,644
5. Step 5: Solve for x
   x = 46,327,396,644/98,385
6. Step 6: Final answer
   x = 470,878.66