Finding the Third Proportional to 98,990 and 213,298

Step by Step Solution

1. Step 1: Write the proportion equation
   98,990 : 213,298 = 213,298 : x
2. Step 2: Convert to fraction form
   98,990/213,298 = 213,298/x
3. Step 3: Cross multiply
   98,990x = 213,298 × 213,298
4. Step 4: Simplify right side
   98,990x = 45,496,036,804
5. Step 5: Solve for x
   x = 45,496,036,804/98,990
6. Step 6: Final answer
   x = 459,602.35