Finding the Third Proportional to 352,138 and 501,746

Step by Step Solution

1. Step 1: Write the proportion equation
   352,138 : 501,746 = 501,746 : x
2. Step 2: Convert to fraction form
   352,138/501,746 = 501,746/x
3. Step 3: Cross multiply
   352,138x = 501,746 × 501,746
4. Step 4: Simplify right side
   352,138x = 251,749,048,516
5. Step 5: Solve for x
   x = 251,749,048,516/352,138
6. Step 6: Final answer
   x = 714,915.88