Finding the Third Proportional to 311,937 and 472,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,937 : 472,306.50 = 472,306.50 : x
2. Step 2: Convert to fraction form
   311,937/472,306.50 = 472,306.50/x
3. Step 3: Cross multiply
   311,937x = 472,306.50 × 472,306.50
4. Step 4: Simplify right side
   311,937x = 223,073,429,942.25
5. Step 5: Solve for x
   x = 223,073,429,942.25/311,937
6. Step 6: Final answer
   x = 715,123.34