Finding the Third Proportional to 41,613 and 86,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,613 : 86,623.50 = 86,623.50 : x
2. Step 2: Convert to fraction form
   41,613/86,623.50 = 86,623.50/x
3. Step 3: Cross multiply
   41,613x = 86,623.50 × 86,623.50
4. Step 4: Simplify right side
   41,613x = 7,503,630,752.25
5. Step 5: Solve for x
   x = 7,503,630,752.25/41,613
6. Step 6: Final answer
   x = 180,319.39