Finding the Third Proportional to 144,926 and 222,789

Step by Step Solution

1. Step 1: Write the proportion equation
   144,926 : 222,789 = 222,789 : x
2. Step 2: Convert to fraction form
   144,926/222,789 = 222,789/x
3. Step 3: Cross multiply
   144,926x = 222,789 × 222,789
4. Step 4: Simplify right side
   144,926x = 49,634,938,521
5. Step 5: Solve for x
   x = 49,634,938,521/144,926
6. Step 6: Final answer
   x = 342,484.71