Finding the Third Proportional to 109,146 and 238,578

Step by Step Solution

1. Step 1: Write the proportion equation
   109,146 : 238,578 = 238,578 : x
2. Step 2: Convert to fraction form
   109,146/238,578 = 238,578/x
3. Step 3: Cross multiply
   109,146x = 238,578 × 238,578
4. Step 4: Simplify right side
   109,146x = 56,919,462,084
5. Step 5: Solve for x
   x = 56,919,462,084/109,146
6. Step 6: Final answer
   x = 521,498.38