Finding the Third Proportional to 40,142.25 and 86,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,142.25 : 86,494.50 = 86,494.50 : x
2. Step 2: Convert to fraction form
   40,142.25/86,494.50 = 86,494.50/x
3. Step 3: Cross multiply
   40,142.25x = 86,494.50 × 86,494.50
4. Step 4: Simplify right side
   40,142.25x = 7,481,298,530.25
5. Step 5: Solve for x
   x = 7,481,298,530.25/40,142.25
6. Step 6: Final answer
   x = 186,369.69