Finding the Third Proportional to 98,786 and 213,010

Step by Step Solution

1. Step 1: Write the proportion equation
   98,786 : 213,010 = 213,010 : x
2. Step 2: Convert to fraction form
   98,786/213,010 = 213,010/x
3. Step 3: Cross multiply
   98,786x = 213,010 × 213,010
4. Step 4: Simplify right side
   98,786x = 45,373,260,100
5. Step 5: Solve for x
   x = 45,373,260,100/98,786
6. Step 6: Final answer
   x = 459,308.61