Finding the Third Proportional to 98,662 and 213,956

Step by Step Solution

1. Step 1: Write the proportion equation
   98,662 : 213,956 = 213,956 : x
2. Step 2: Convert to fraction form
   98,662/213,956 = 213,956/x
3. Step 3: Cross multiply
   98,662x = 213,956 × 213,956
4. Step 4: Simplify right side
   98,662x = 45,777,169,936
5. Step 5: Solve for x
   x = 45,777,169,936/98,662
6. Step 6: Final answer
   x = 463,979.75