Finding the Third Proportional to 86,669 and 186,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,669 : 186,273.50 = 186,273.50 : x
2. Step 2: Convert to fraction form
   86,669/186,273.50 = 186,273.50/x
3. Step 3: Cross multiply
   86,669x = 186,273.50 × 186,273.50
4. Step 4: Simplify right side
   86,669x = 34,697,816,802.25
5. Step 5: Solve for x
   x = 34,697,816,802.25/86,669
6. Step 6: Final answer
   x = 400,348.65