Finding the Third Proportional to 40,806 and 86,510

Step by Step Solution

1. Step 1: Write the proportion equation
   40,806 : 86,510 = 86,510 : x
2. Step 2: Convert to fraction form
   40,806/86,510 = 86,510/x
3. Step 3: Cross multiply
   40,806x = 86,510 × 86,510
4. Step 4: Simplify right side
   40,806x = 7,483,980,100
5. Step 5: Solve for x
   x = 7,483,980,100/40,806
6. Step 6: Final answer
   x = 183,403.91