Finding the Third Proportional to 114,096 and 213,912

Step by Step Solution

1. Step 1: Write the proportion equation
   114,096 : 213,912 = 213,912 : x
2. Step 2: Convert to fraction form
   114,096/213,912 = 213,912/x
3. Step 3: Cross multiply
   114,096x = 213,912 × 213,912
4. Step 4: Simplify right side
   114,096x = 45,758,343,744
5. Step 5: Solve for x
   x = 45,758,343,744/114,096
6. Step 6: Final answer
   x = 401,051.25