Finding the Third Proportional to 50,811 and 116,862

Step by Step Solution

1. Step 1: Write the proportion equation
   50,811 : 116,862 = 116,862 : x
2. Step 2: Convert to fraction form
   50,811/116,862 = 116,862/x
3. Step 3: Cross multiply
   50,811x = 116,862 × 116,862
4. Step 4: Simplify right side
   50,811x = 13,656,727,044
5. Step 5: Solve for x
   x = 13,656,727,044/50,811
6. Step 6: Final answer
   x = 268,775.01