Finding the Third Proportional to 105,183 and 229,374

Step by Step Solution

1. Step 1: Write the proportion equation
   105,183 : 229,374 = 229,374 : x
2. Step 2: Convert to fraction form
   105,183/229,374 = 229,374/x
3. Step 3: Cross multiply
   105,183x = 229,374 × 229,374
4. Step 4: Simplify right side
   105,183x = 52,612,431,876
5. Step 5: Solve for x
   x = 52,612,431,876/105,183
6. Step 6: Final answer
   x = 500,199.00