Finding the Third Proportional to 40,806 and 86,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,806 : 86,509.50 = 86,509.50 : x
2. Step 2: Convert to fraction form
   40,806/86,509.50 = 86,509.50/x
3. Step 3: Cross multiply
   40,806x = 86,509.50 × 86,509.50
4. Step 4: Simplify right side
   40,806x = 7,483,893,590.25
5. Step 5: Solve for x
   x = 7,483,893,590.25/40,806
6. Step 6: Final answer
   x = 183,401.79