Finding the Third Proportional to 65,774 and 142,057

Step by Step Solution

1. Step 1: Write the proportion equation
   65,774 : 142,057 = 142,057 : x
2. Step 2: Convert to fraction form
   65,774/142,057 = 142,057/x
3. Step 3: Cross multiply
   65,774x = 142,057 × 142,057
4. Step 4: Simplify right side
   65,774x = 20,180,191,249
5. Step 5: Solve for x
   x = 20,180,191,249/65,774
6. Step 6: Final answer
   x = 306,811.07