Finding the Third Proportional to 41,706 and 86,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,706 : 86,863.50 = 86,863.50 : x
2. Step 2: Convert to fraction form
   41,706/86,863.50 = 86,863.50/x
3. Step 3: Cross multiply
   41,706x = 86,863.50 × 86,863.50
4. Step 4: Simplify right side
   41,706x = 7,545,267,632.25
5. Step 5: Solve for x
   x = 7,545,267,632.25/41,706
6. Step 6: Final answer
   x = 180,915.64