Finding the Third Proportional to 109,172 and 238,644

Step by Step Solution

1. Step 1: Write the proportion equation
   109,172 : 238,644 = 238,644 : x
2. Step 2: Convert to fraction form
   109,172/238,644 = 238,644/x
3. Step 3: Cross multiply
   109,172x = 238,644 × 238,644
4. Step 4: Simplify right side
   109,172x = 56,950,958,736
5. Step 5: Solve for x
   x = 56,950,958,736/109,172
6. Step 6: Final answer
   x = 521,662.69