Finding the Third Proportional to 109,530 and 238,788

Step by Step Solution

1. Step 1: Write the proportion equation
   109,530 : 238,788 = 238,788 : x
2. Step 2: Convert to fraction form
   109,530/238,788 = 238,788/x
3. Step 3: Cross multiply
   109,530x = 238,788 × 238,788
4. Step 4: Simplify right side
   109,530x = 57,019,708,944
5. Step 5: Solve for x
   x = 57,019,708,944/109,530
6. Step 6: Final answer
   x = 520,585.31