Finding the Third Proportional to 98,505 and 204,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,505 : 204,016.50 = 204,016.50 : x
2. Step 2: Convert to fraction form
   98,505/204,016.50 = 204,016.50/x
3. Step 3: Cross multiply
   98,505x = 204,016.50 × 204,016.50
4. Step 4: Simplify right side
   98,505x = 41,622,732,272.25
5. Step 5: Solve for x
   x = 41,622,732,272.25/98,505
6. Step 6: Final answer
   x = 422,544.36