Finding the Third Proportional to 311,940 and 470,123

Step by Step Solution

1. Step 1: Write the proportion equation
   311,940 : 470,123 = 470,123 : x
2. Step 2: Convert to fraction form
   311,940/470,123 = 470,123/x
3. Step 3: Cross multiply
   311,940x = 470,123 × 470,123
4. Step 4: Simplify right side
   311,940x = 221,015,635,129
5. Step 5: Solve for x
   x = 221,015,635,129/311,940
6. Step 6: Final answer
   x = 708,519.70