Finding the Third Proportional to 142,010 and 222,767

Step by Step Solution

1. Step 1: Write the proportion equation
   142,010 : 222,767 = 222,767 : x
2. Step 2: Convert to fraction form
   142,010/222,767 = 222,767/x
3. Step 3: Cross multiply
   142,010x = 222,767 × 222,767
4. Step 4: Simplify right side
   142,010x = 49,625,136,289
5. Step 5: Solve for x
   x = 49,625,136,289/142,010
6. Step 6: Final answer
   x = 349,448.18