Finding the Third Proportional to 65,619 and 144,774

Step by Step Solution

1. Step 1: Write the proportion equation
   65,619 : 144,774 = 144,774 : x
2. Step 2: Convert to fraction form
   65,619/144,774 = 144,774/x
3. Step 3: Cross multiply
   65,619x = 144,774 × 144,774
4. Step 4: Simplify right side
   65,619x = 20,959,511,076
5. Step 5: Solve for x
   x = 20,959,511,076/65,619
6. Step 6: Final answer
   x = 319,412.23