Finding the Third Proportional to 151,776 and 222,742

Step by Step Solution

1. Step 1: Write the proportion equation
   151,776 : 222,742 = 222,742 : x
2. Step 2: Convert to fraction form
   151,776/222,742 = 222,742/x
3. Step 3: Cross multiply
   151,776x = 222,742 × 222,742
4. Step 4: Simplify right side
   151,776x = 49,613,998,564
5. Step 5: Solve for x
   x = 49,613,998,564/151,776
6. Step 6: Final answer
   x = 326,889.62