Finding the Third Proportional to 142,278 and 213,045

Step by Step Solution

1. Step 1: Write the proportion equation
   142,278 : 213,045 = 213,045 : x
2. Step 2: Convert to fraction form
   142,278/213,045 = 213,045/x
3. Step 3: Cross multiply
   142,278x = 213,045 × 213,045
4. Step 4: Simplify right side
   142,278x = 45,388,172,025
5. Step 5: Solve for x
   x = 45,388,172,025/142,278
6. Step 6: Final answer
   x = 319,010.47