Finding the Third Proportional to 39,996 and 86,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,996 : 86,406.50 = 86,406.50 : x
2. Step 2: Convert to fraction form
   39,996/86,406.50 = 86,406.50/x
3. Step 3: Cross multiply
   39,996x = 86,406.50 × 86,406.50
4. Step 4: Simplify right side
   39,996x = 7,466,083,242.25
5. Step 5: Solve for x
   x = 7,466,083,242.25/39,996
6. Step 6: Final answer
   x = 186,670.75