Finding the Third Proportional to 333,357 and 476,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,357 : 476,356.50 = 476,356.50 : x
2. Step 2: Convert to fraction form
   333,357/476,356.50 = 476,356.50/x
3. Step 3: Cross multiply
   333,357x = 476,356.50 × 476,356.50
4. Step 4: Simplify right side
   333,357x = 226,915,515,092.25
5. Step 5: Solve for x
   x = 226,915,515,092.25/333,357
6. Step 6: Final answer
   x = 680,698.22