Finding the Third Proportional to 142,740 and 222,014

Step by Step Solution

1. Step 1: Write the proportion equation
   142,740 : 222,014 = 222,014 : x
2. Step 2: Convert to fraction form
   142,740/222,014 = 222,014/x
3. Step 3: Cross multiply
   142,740x = 222,014 × 222,014
4. Step 4: Simplify right side
   142,740x = 49,290,216,196
5. Step 5: Solve for x
   x = 49,290,216,196/142,740
6. Step 6: Final answer
   x = 345,314.67