Finding the Third Proportional to 40,784 and 86,480

Step by Step Solution

1. Step 1: Write the proportion equation
   40,784 : 86,480 = 86,480 : x
2. Step 2: Convert to fraction form
   40,784/86,480 = 86,480/x
3. Step 3: Cross multiply
   40,784x = 86,480 × 86,480
4. Step 4: Simplify right side
   40,784x = 7,478,790,400
5. Step 5: Solve for x
   x = 7,478,790,400/40,784
6. Step 6: Final answer
   x = 183,375.60