Finding the Third Proportional to 57,885 and 86,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,885 : 86,965.50 = 86,965.50 : x
2. Step 2: Convert to fraction form
   57,885/86,965.50 = 86,965.50/x
3. Step 3: Cross multiply
   57,885x = 86,965.50 × 86,965.50
4. Step 4: Simplify right side
   57,885x = 7,562,998,190.25
5. Step 5: Solve for x
   x = 7,562,998,190.25/57,885
6. Step 6: Final answer
   x = 130,655.58