Finding the Third Proportional to 105,490.50 and 227,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,490.50 : 227,471.50 = 227,471.50 : x
2. Step 2: Convert to fraction form
   105,490.50/227,471.50 = 227,471.50/x
3. Step 3: Cross multiply
   105,490.50x = 227,471.50 × 227,471.50
4. Step 4: Simplify right side
   105,490.50x = 51,743,283,312.25
5. Step 5: Solve for x
   x = 51,743,283,312.25/105,490.50
6. Step 6: Final answer
   x = 490,501.83