Finding the Third Proportional to 66,271 and 142,006

Step by Step Solution

1. Step 1: Write the proportion equation
   66,271 : 142,006 = 142,006 : x
2. Step 2: Convert to fraction form
   66,271/142,006 = 142,006/x
3. Step 3: Cross multiply
   66,271x = 142,006 × 142,006
4. Step 4: Simplify right side
   66,271x = 20,165,704,036
5. Step 5: Solve for x
   x = 20,165,704,036/66,271
6. Step 6: Final answer
   x = 304,291.53