Finding the Third Proportional to 329,877 and 494,723.25

Step by Step Solution

1. Step 1: Write the proportion equation
   329,877 : 494,723.25 = 494,723.25 : x
2. Step 2: Convert to fraction form
   329,877/494,723.25 = 494,723.25/x
3. Step 3: Cross multiply
   329,877x = 494,723.25 × 494,723.25
4. Step 4: Simplify right side
   329,877x = 244,751,094,090.56
5. Step 5: Solve for x
   x = 244,751,094,090.56/329,877
6. Step 6: Final answer
   x = 741,946.53