Finding the Third Proportional to 98,002 and 214,684

Step by Step Solution

1. Step 1: Write the proportion equation
   98,002 : 214,684 = 214,684 : x
2. Step 2: Convert to fraction form
   98,002/214,684 = 214,684/x
3. Step 3: Cross multiply
   98,002x = 214,684 × 214,684
4. Step 4: Simplify right side
   98,002x = 46,089,219,856
5. Step 5: Solve for x
   x = 46,089,219,856/98,002
6. Step 6: Final answer
   x = 470,288.56