Finding the Third Proportional to 98,214 and 215,004

Step by Step Solution

1. Step 1: Write the proportion equation
   98,214 : 215,004 = 215,004 : x
2. Step 2: Convert to fraction form
   98,214/215,004 = 215,004/x
3. Step 3: Cross multiply
   98,214x = 215,004 × 215,004
4. Step 4: Simplify right side
   98,214x = 46,226,720,016
5. Step 5: Solve for x
   x = 46,226,720,016/98,214
6. Step 6: Final answer
   x = 470,673.43