Finding the Third Proportional to 109,214 and 238,192

Step by Step Solution

1. Step 1: Write the proportion equation
   109,214 : 238,192 = 238,192 : x
2. Step 2: Convert to fraction form
   109,214/238,192 = 238,192/x
3. Step 3: Cross multiply
   109,214x = 238,192 × 238,192
4. Step 4: Simplify right side
   109,214x = 56,735,428,864
5. Step 5: Solve for x
   x = 56,735,428,864/109,214
6. Step 6: Final answer
   x = 519,488.61