Finding the Third Proportional to 65,211 and 142,923

Step by Step Solution

1. Step 1: Write the proportion equation
   65,211 : 142,923 = 142,923 : x
2. Step 2: Convert to fraction form
   65,211/142,923 = 142,923/x
3. Step 3: Cross multiply
   65,211x = 142,923 × 142,923
4. Step 4: Simplify right side
   65,211x = 20,426,983,929
5. Step 5: Solve for x
   x = 20,426,983,929/65,211
6. Step 6: Final answer
   x = 313,244.45