Finding the Third Proportional to 40,809 and 86,520

Step by Step Solution

1. Step 1: Write the proportion equation
   40,809 : 86,520 = 86,520 : x
2. Step 2: Convert to fraction form
   40,809/86,520 = 86,520/x
3. Step 3: Cross multiply
   40,809x = 86,520 × 86,520
4. Step 4: Simplify right side
   40,809x = 7,485,710,400
5. Step 5: Solve for x
   x = 7,485,710,400/40,809
6. Step 6: Final answer
   x = 183,432.83