Finding the Third Proportional to 39,967 and 86,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,967 : 86,166.50 = 86,166.50 : x
2. Step 2: Convert to fraction form
   39,967/86,166.50 = 86,166.50/x
3. Step 3: Cross multiply
   39,967x = 86,166.50 × 86,166.50
4. Step 4: Simplify right side
   39,967x = 7,424,665,722.25
5. Step 5: Solve for x
   x = 7,424,665,722.25/39,967
6. Step 6: Final answer
   x = 185,769.90