Finding the Third Proportional to 329,852 and 501,042

Step by Step Solution

1. Step 1: Write the proportion equation
   329,852 : 501,042 = 501,042 : x
2. Step 2: Convert to fraction form
   329,852/501,042 = 501,042/x
3. Step 3: Cross multiply
   329,852x = 501,042 × 501,042
4. Step 4: Simplify right side
   329,852x = 251,043,085,764
5. Step 5: Solve for x
   x = 251,043,085,764/329,852
6. Step 6: Final answer
   x = 761,077.96