Finding the Third Proportional to 86,638 and 186,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,638 : 186,168.50 = 186,168.50 : x
2. Step 2: Convert to fraction form
   86,638/186,168.50 = 186,168.50/x
3. Step 3: Cross multiply
   86,638x = 186,168.50 × 186,168.50
4. Step 4: Simplify right side
   86,638x = 34,658,710,392.25
5. Step 5: Solve for x
   x = 34,658,710,392.25/86,638
6. Step 6: Final answer
   x = 400,040.52