Finding the Third Proportional to 98,674 and 213,116

Step by Step Solution

1. Step 1: Write the proportion equation
   98,674 : 213,116 = 213,116 : x
2. Step 2: Convert to fraction form
   98,674/213,116 = 213,116/x
3. Step 3: Cross multiply
   98,674x = 213,116 × 213,116
4. Step 4: Simplify right side
   98,674x = 45,418,429,456
5. Step 5: Solve for x
   x = 45,418,429,456/98,674
6. Step 6: Final answer
   x = 460,287.71