Finding the Third Proportional to 311,898 and 470,066

Step by Step Solution

1. Step 1: Write the proportion equation
   311,898 : 470,066 = 470,066 : x
2. Step 2: Convert to fraction form
   311,898/470,066 = 470,066/x
3. Step 3: Cross multiply
   311,898x = 470,066 × 470,066
4. Step 4: Simplify right side
   311,898x = 220,962,044,356
5. Step 5: Solve for x
   x = 220,962,044,356/311,898
6. Step 6: Final answer
   x = 708,443.29