Finding the Third Proportional to 352,142 and 501,752

Step by Step Solution

1. Step 1: Write the proportion equation
   352,142 : 501,752 = 501,752 : x
2. Step 2: Convert to fraction form
   352,142/501,752 = 501,752/x
3. Step 3: Cross multiply
   352,142x = 501,752 × 501,752
4. Step 4: Simplify right side
   352,142x = 251,755,069,504
5. Step 5: Solve for x
   x = 251,755,069,504/352,142
6. Step 6: Final answer
   x = 714,924.86