Finding the Third Proportional to 98,298 and 213,242

Step by Step Solution

1. Step 1: Write the proportion equation
   98,298 : 213,242 = 213,242 : x
2. Step 2: Convert to fraction form
   98,298/213,242 = 213,242/x
3. Step 3: Cross multiply
   98,298x = 213,242 × 213,242
4. Step 4: Simplify right side
   98,298x = 45,472,150,564
5. Step 5: Solve for x
   x = 45,472,150,564/98,298
6. Step 6: Final answer
   x = 462,594.87