Finding the Third Proportional to 86,227.50 and 187,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,227.50 : 187,642.50 = 187,642.50 : x
2. Step 2: Convert to fraction form
   86,227.50/187,642.50 = 187,642.50/x
3. Step 3: Cross multiply
   86,227.50x = 187,642.50 × 187,642.50
4. Step 4: Simplify right side
   86,227.50x = 35,209,707,806.25
5. Step 5: Solve for x
   x = 35,209,707,806.25/86,227.50
6. Step 6: Final answer
   x = 408,335.02