Finding the Third Proportional to 39,863 and 86,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,863 : 86,732.50 = 86,732.50 : x
2. Step 2: Convert to fraction form
   39,863/86,732.50 = 86,732.50/x
3. Step 3: Cross multiply
   39,863x = 86,732.50 × 86,732.50
4. Step 4: Simplify right side
   39,863x = 7,522,526,556.25
5. Step 5: Solve for x
   x = 7,522,526,556.25/39,863
6. Step 6: Final answer
   x = 188,709.49