Finding the Third Proportional to 333,171 and 474,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,171 : 474,835.50 = 474,835.50 : x
2. Step 2: Convert to fraction form
   333,171/474,835.50 = 474,835.50/x
3. Step 3: Cross multiply
   333,171x = 474,835.50 × 474,835.50
4. Step 4: Simplify right side
   333,171x = 225,468,752,060.25
5. Step 5: Solve for x
   x = 225,468,752,060.25/333,171
6. Step 6: Final answer
   x = 676,735.83