Finding the Third Proportional to 313,747.50 and 471,336

Step by Step Solution

1. Step 1: Write the proportion equation
   313,747.50 : 471,336 = 471,336 : x
2. Step 2: Convert to fraction form
   313,747.50/471,336 = 471,336/x
3. Step 3: Cross multiply
   313,747.50x = 471,336 × 471,336
4. Step 4: Simplify right side
   313,747.50x = 222,157,624,896
5. Step 5: Solve for x
   x = 222,157,624,896/313,747.50
6. Step 6: Final answer
   x = 708,077.75