Finding the Third Proportional to 98,649 and 213,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,649 : 213,064.50 = 213,064.50 : x
2. Step 2: Convert to fraction form
   98,649/213,064.50 = 213,064.50/x
3. Step 3: Cross multiply
   98,649x = 213,064.50 × 213,064.50
4. Step 4: Simplify right side
   98,649x = 45,396,481,160.25
5. Step 5: Solve for x
   x = 45,396,481,160.25/98,649
6. Step 6: Final answer
   x = 460,181.87