Finding the Third Proportional to 65,763 and 143,824

Step by Step Solution

1. Step 1: Write the proportion equation
   65,763 : 143,824 = 143,824 : x
2. Step 2: Convert to fraction form
   65,763/143,824 = 143,824/x
3. Step 3: Cross multiply
   65,763x = 143,824 × 143,824
4. Step 4: Simplify right side
   65,763x = 20,685,342,976
5. Step 5: Solve for x
   x = 20,685,342,976/65,763
6. Step 6: Final answer
   x = 314,543.79