Finding the Third Proportional to 329,013 and 495,945

Step by Step Solution

1. Step 1: Write the proportion equation
   329,013 : 495,945 = 495,945 : x
2. Step 2: Convert to fraction form
   329,013/495,945 = 495,945/x
3. Step 3: Cross multiply
   329,013x = 495,945 × 495,945
4. Step 4: Simplify right side
   329,013x = 245,961,443,025
5. Step 5: Solve for x
   x = 245,961,443,025/329,013
6. Step 6: Final answer
   x = 747,573.63