Finding the Third Proportional to 86,580 and 187,924.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,580 : 187,924.50 = 187,924.50 : x
2. Step 2: Convert to fraction form
   86,580/187,924.50 = 187,924.50/x
3. Step 3: Cross multiply
   86,580x = 187,924.50 × 187,924.50
4. Step 4: Simplify right side
   86,580x = 35,315,617,700.25
5. Step 5: Solve for x
   x = 35,315,617,700.25/86,580
6. Step 6: Final answer
   x = 407,895.79