Finding the Third Proportional to 86,578.50 and 185,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,578.50 : 185,476.50 = 185,476.50 : x
2. Step 2: Convert to fraction form
   86,578.50/185,476.50 = 185,476.50/x
3. Step 3: Cross multiply
   86,578.50x = 185,476.50 × 185,476.50
4. Step 4: Simplify right side
   86,578.50x = 34,401,532,052.25
5. Step 5: Solve for x
   x = 34,401,532,052.25/86,578.50
6. Step 6: Final answer
   x = 397,344.98