Finding the Third Proportional to 109,206 and 238,617

Step by Step Solution

1. Step 1: Write the proportion equation
   109,206 : 238,617 = 238,617 : x
2. Step 2: Convert to fraction form
   109,206/238,617 = 238,617/x
3. Step 3: Cross multiply
   109,206x = 238,617 × 238,617
4. Step 4: Simplify right side
   109,206x = 56,938,072,689
5. Step 5: Solve for x
   x = 56,938,072,689/109,206
6. Step 6: Final answer
   x = 521,382.27