Finding the Third Proportional to 218,114 and 470,596

Step by Step Solution

1. Step 1: Write the proportion equation
   218,114 : 470,596 = 470,596 : x
2. Step 2: Convert to fraction form
   218,114/470,596 = 470,596/x
3. Step 3: Cross multiply
   218,114x = 470,596 × 470,596
4. Step 4: Simplify right side
   218,114x = 221,460,595,216
5. Step 5: Solve for x
   x = 221,460,595,216/218,114
6. Step 6: Final answer
   x = 1,015,343.33