Finding the Third Proportional to 109,665 and 238,122

Step by Step Solution

1. Step 1: Write the proportion equation
   109,665 : 238,122 = 238,122 : x
2. Step 2: Convert to fraction form
   109,665/238,122 = 238,122/x
3. Step 3: Cross multiply
   109,665x = 238,122 × 238,122
4. Step 4: Simplify right side
   109,665x = 56,702,086,884
5. Step 5: Solve for x
   x = 56,702,086,884/109,665
6. Step 6: Final answer
   x = 517,048.16