Finding the Third Proportional to 86,647.50 and 186,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,647.50 : 186,187.50 = 186,187.50 : x
2. Step 2: Convert to fraction form
   86,647.50/186,187.50 = 186,187.50/x
3. Step 3: Cross multiply
   86,647.50x = 186,187.50 × 186,187.50
4. Step 4: Simplify right side
   86,647.50x = 34,665,785,156.25
5. Step 5: Solve for x
   x = 34,665,785,156.25/86,647.50
6. Step 6: Final answer
   x = 400,078.31