Finding the Third Proportional to 86,031.75 and 185,243.25

Step by Step Solution

1. Step 1: Write the proportion equation
   86,031.75 : 185,243.25 = 185,243.25 : x
2. Step 2: Convert to fraction form
   86,031.75/185,243.25 = 185,243.25/x
3. Step 3: Cross multiply
   86,031.75x = 185,243.25 × 185,243.25
4. Step 4: Simplify right side
   86,031.75x = 34,315,061,670.56
5. Step 5: Solve for x
   x = 34,315,061,670.56/86,031.75
6. Step 6: Final answer
   x = 398,865.09