Finding the Third Proportional to 191,944 and 418,856

Step by Step Solution

1. Step 1: Write the proportion equation
   191,944 : 418,856 = 418,856 : x
2. Step 2: Convert to fraction form
   191,944/418,856 = 418,856/x
3. Step 3: Cross multiply
   191,944x = 418,856 × 418,856
4. Step 4: Simplify right side
   191,944x = 175,440,348,736
5. Step 5: Solve for x
   x = 175,440,348,736/191,944
6. Step 6: Final answer
   x = 914,018.41