Finding the Third Proportional to 216,110 and 317,158

Step by Step Solution

1. Step 1: Write the proportion equation
   216,110 : 317,158 = 317,158 : x
2. Step 2: Convert to fraction form
   216,110/317,158 = 317,158/x
3. Step 3: Cross multiply
   216,110x = 317,158 × 317,158
4. Step 4: Simplify right side
   216,110x = 100,589,196,964
5. Step 5: Solve for x
   x = 100,589,196,964/216,110
6. Step 6: Final answer
   x = 465,453.69