Finding the Third Proportional to 86,500.50 and 188,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,500.50 : 188,653.50 = 188,653.50 : x
2. Step 2: Convert to fraction form
   86,500.50/188,653.50 = 188,653.50/x
3. Step 3: Cross multiply
   86,500.50x = 188,653.50 × 188,653.50
4. Step 4: Simplify right side
   86,500.50x = 35,590,143,062.25
5. Step 5: Solve for x
   x = 35,590,143,062.25/86,500.50
6. Step 6: Final answer
   x = 411,444.36