Finding the Third Proportional to 65,764 and 143,830

Step by Step Solution

1. Step 1: Write the proportion equation
   65,764 : 143,830 = 143,830 : x
2. Step 2: Convert to fraction form
   65,764/143,830 = 143,830/x
3. Step 3: Cross multiply
   65,764x = 143,830 × 143,830
4. Step 4: Simplify right side
   65,764x = 20,687,068,900
5. Step 5: Solve for x
   x = 20,687,068,900/65,764
6. Step 6: Final answer
   x = 314,565.25