Finding the Third Proportional to 66,644 and 142,468

Step by Step Solution

1. Step 1: Write the proportion equation
   66,644 : 142,468 = 142,468 : x
2. Step 2: Convert to fraction form
   66,644/142,468 = 142,468/x
3. Step 3: Cross multiply
   66,644x = 142,468 × 142,468
4. Step 4: Simplify right side
   66,644x = 20,297,131,024
5. Step 5: Solve for x
   x = 20,297,131,024/66,644
6. Step 6: Final answer
   x = 304,560.52