Finding the Third Proportional to 332,913 and 471,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   332,913 : 471,064.50 = 471,064.50 : x
2. Step 2: Convert to fraction form
   332,913/471,064.50 = 471,064.50/x
3. Step 3: Cross multiply
   332,913x = 471,064.50 × 471,064.50
4. Step 4: Simplify right side
   332,913x = 221,901,763,160.25
5. Step 5: Solve for x
   x = 221,901,763,160.25/332,913
6. Step 6: Final answer
   x = 666,545.80