Finding the Third Proportional to 86,281 and 185,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,281 : 185,369.50 = 185,369.50 : x
2. Step 2: Convert to fraction form
   86,281/185,369.50 = 185,369.50/x
3. Step 3: Cross multiply
   86,281x = 185,369.50 × 185,369.50
4. Step 4: Simplify right side
   86,281x = 34,361,851,530.25
5. Step 5: Solve for x
   x = 34,361,851,530.25/86,281
6. Step 6: Final answer
   x = 398,255.14