Finding the Third Proportional to 86,936 and 185,355.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,936 : 185,355.50 = 185,355.50 : x
2. Step 2: Convert to fraction form
   86,936/185,355.50 = 185,355.50/x
3. Step 3: Cross multiply
   86,936x = 185,355.50 × 185,355.50
4. Step 4: Simplify right side
   86,936x = 34,356,661,380.25
5. Step 5: Solve for x
   x = 34,356,661,380.25/86,936
6. Step 6: Final answer
   x = 395,194.87