Finding the Third Proportional to 165,618 and 258,268.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,618 : 258,268.50 = 258,268.50 : x
2. Step 2: Convert to fraction form
   165,618/258,268.50 = 258,268.50/x
3. Step 3: Cross multiply
   165,618x = 258,268.50 × 258,268.50
4. Step 4: Simplify right side
   165,618x = 66,702,618,092.25
5. Step 5: Solve for x
   x = 66,702,618,092.25/165,618
6. Step 6: Final answer
   x = 402,749.81