Finding the Third Proportional to 86,578.50 and 187,920

Step by Step Solution

1. Step 1: Write the proportion equation
   86,578.50 : 187,920 = 187,920 : x
2. Step 2: Convert to fraction form
   86,578.50/187,920 = 187,920/x
3. Step 3: Cross multiply
   86,578.50x = 187,920 × 187,920
4. Step 4: Simplify right side
   86,578.50x = 35,313,926,400
5. Step 5: Solve for x
   x = 35,313,926,400/86,578.50
6. Step 6: Final answer
   x = 407,883.32