Finding the Third Proportional to 140,768 and 222,888

Step by Step Solution

1. Step 1: Write the proportion equation
   140,768 : 222,888 = 222,888 : x
2. Step 2: Convert to fraction form
   140,768/222,888 = 222,888/x
3. Step 3: Cross multiply
   140,768x = 222,888 × 222,888
4. Step 4: Simplify right side
   140,768x = 49,679,060,544
5. Step 5: Solve for x
   x = 49,679,060,544/140,768
6. Step 6: Final answer
   x = 352,914.44