Finding the Third Proportional to 85,308.75 and 185,744.25

Step by Step Solution

1. Step 1: Write the proportion equation
   85,308.75 : 185,744.25 = 185,744.25 : x
2. Step 2: Convert to fraction form
   85,308.75/185,744.25 = 185,744.25/x
3. Step 3: Cross multiply
   85,308.75x = 185,744.25 × 185,744.25
4. Step 4: Simplify right side
   85,308.75x = 34,500,926,408.06
5. Step 5: Solve for x
   x = 34,500,926,408.06/85,308.75
6. Step 6: Final answer
   x = 404,424.24