Finding the Third Proportional to 142,641 and 222,140

Step by Step Solution

1. Step 1: Write the proportion equation
   142,641 : 222,140 = 222,140 : x
2. Step 2: Convert to fraction form
   142,641/222,140 = 222,140/x
3. Step 3: Cross multiply
   142,641x = 222,140 × 222,140
4. Step 4: Simplify right side
   142,641x = 49,346,179,600
5. Step 5: Solve for x
   x = 49,346,179,600/142,641
6. Step 6: Final answer
   x = 345,946.67