Finding the Third Proportional to 329,268 and 501,006

Step by Step Solution

1. Step 1: Write the proportion equation
   329,268 : 501,006 = 501,006 : x
2. Step 2: Convert to fraction form
   329,268/501,006 = 501,006/x
3. Step 3: Cross multiply
   329,268x = 501,006 × 501,006
4. Step 4: Simplify right side
   329,268x = 251,007,012,036
5. Step 5: Solve for x
   x = 251,007,012,036/329,268
6. Step 6: Final answer
   x = 762,318.27