Finding the Third Proportional to 40,784 and 86,000

Step by Step Solution

1. Step 1: Write the proportion equation
   40,784 : 86,000 = 86,000 : x
2. Step 2: Convert to fraction form
   40,784/86,000 = 86,000/x
3. Step 3: Cross multiply
   40,784x = 86,000 × 86,000
4. Step 4: Simplify right side
   40,784x = 7,396,000,000
5. Step 5: Solve for x
   x = 7,396,000,000/40,784
6. Step 6: Final answer
   x = 181,345.63