Finding the Third Proportional to 65,774 and 142,058

Step by Step Solution

1. Step 1: Write the proportion equation
   65,774 : 142,058 = 142,058 : x
2. Step 2: Convert to fraction form
   65,774/142,058 = 142,058/x
3. Step 3: Cross multiply
   65,774x = 142,058 × 142,058
4. Step 4: Simplify right side
   65,774x = 20,180,475,364
5. Step 5: Solve for x
   x = 20,180,475,364/65,774
6. Step 6: Final answer
   x = 306,815.39