Finding the Third Proportional to 109,148 and 238,816

Step by Step Solution

1. Step 1: Write the proportion equation
   109,148 : 238,816 = 238,816 : x
2. Step 2: Convert to fraction form
   109,148/238,816 = 238,816/x
3. Step 3: Cross multiply
   109,148x = 238,816 × 238,816
4. Step 4: Simplify right side
   109,148x = 57,033,081,856
5. Step 5: Solve for x
   x = 57,033,081,856/109,148
6. Step 6: Final answer
   x = 522,529.79