Finding the Third Proportional to 40,862 and 86,764

Step by Step Solution

1. Step 1: Write the proportion equation
   40,862 : 86,764 = 86,764 : x
2. Step 2: Convert to fraction form
   40,862/86,764 = 86,764/x
3. Step 3: Cross multiply
   40,862x = 86,764 × 86,764
4. Step 4: Simplify right side
   40,862x = 7,527,991,696
5. Step 5: Solve for x
   x = 7,527,991,696/40,862
6. Step 6: Final answer
   x = 184,229.64