Finding the Third Proportional to 311,938 and 472,308

Step by Step Solution

1. Step 1: Write the proportion equation
   311,938 : 472,308 = 472,308 : x
2. Step 2: Convert to fraction form
   311,938/472,308 = 472,308/x
3. Step 3: Cross multiply
   311,938x = 472,308 × 472,308
4. Step 4: Simplify right side
   311,938x = 223,074,846,864
5. Step 5: Solve for x
   x = 223,074,846,864/311,938
6. Step 6: Final answer
   x = 715,125.59