Finding the Third Proportional to 105,139.50 and 227,775

Step by Step Solution

1. Step 1: Write the proportion equation
   105,139.50 : 227,775 = 227,775 : x
2. Step 2: Convert to fraction form
   105,139.50/227,775 = 227,775/x
3. Step 3: Cross multiply
   105,139.50x = 227,775 × 227,775
4. Step 4: Simplify right side
   105,139.50x = 51,881,450,625
5. Step 5: Solve for x
   x = 51,881,450,625/105,139.50
6. Step 6: Final answer
   x = 493,453.47