Finding the Third Proportional to 114,121 and 231,697

Step by Step Solution

1. Step 1: Write the proportion equation
   114,121 : 231,697 = 231,697 : x
2. Step 2: Convert to fraction form
   114,121/231,697 = 231,697/x
3. Step 3: Cross multiply
   114,121x = 231,697 × 231,697
4. Step 4: Simplify right side
   114,121x = 53,683,499,809
5. Step 5: Solve for x
   x = 53,683,499,809/114,121
6. Step 6: Final answer
   x = 470,408.60