Finding the Third Proportional to 109,185 and 231,494

Step by Step Solution

1. Step 1: Write the proportion equation
   109,185 : 231,494 = 231,494 : x
2. Step 2: Convert to fraction form
   109,185/231,494 = 231,494/x
3. Step 3: Cross multiply
   109,185x = 231,494 × 231,494
4. Step 4: Simplify right side
   109,185x = 53,589,472,036
5. Step 5: Solve for x
   x = 53,589,472,036/109,185
6. Step 6: Final answer
   x = 490,813.50