Finding the Third Proportional to 86,914 and 89,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,914 : 89,364.50 = 89,364.50 : x
2. Step 2: Convert to fraction form
   86,914/89,364.50 = 89,364.50/x
3. Step 3: Cross multiply
   86,914x = 89,364.50 × 89,364.50
4. Step 4: Simplify right side
   86,914x = 7,986,013,860.25
5. Step 5: Solve for x
   x = 7,986,013,860.25/86,914
6. Step 6: Final answer
   x = 91,884.09