Finding the Third Proportional to 105,146 and 227,140

Step by Step Solution

1. Step 1: Write the proportion equation
   105,146 : 227,140 = 227,140 : x
2. Step 2: Convert to fraction form
   105,146/227,140 = 227,140/x
3. Step 3: Cross multiply
   105,146x = 227,140 × 227,140
4. Step 4: Simplify right side
   105,146x = 51,592,579,600
5. Step 5: Solve for x
   x = 51,592,579,600/105,146
6. Step 6: Final answer
   x = 490,675.63