Finding the Third Proportional to 142,227 and 208,080

Step by Step Solution

1. Step 1: Write the proportion equation
   142,227 : 208,080 = 208,080 : x
2. Step 2: Convert to fraction form
   142,227/208,080 = 208,080/x
3. Step 3: Cross multiply
   142,227x = 208,080 × 208,080
4. Step 4: Simplify right side
   142,227x = 43,297,286,400
5. Step 5: Solve for x
   x = 43,297,286,400/142,227
6. Step 6: Final answer
   x = 304,423.82