Finding the Third Proportional to 86,667 and 186,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,667 : 186,269.50 = 186,269.50 : x
2. Step 2: Convert to fraction form
   86,667/186,269.50 = 186,269.50/x
3. Step 3: Cross multiply
   86,667x = 186,269.50 × 186,269.50
4. Step 4: Simplify right side
   86,667x = 34,696,326,630.25
5. Step 5: Solve for x
   x = 34,696,326,630.25/86,667
6. Step 6: Final answer
   x = 400,340.69