Finding the Third Proportional to 102,749.50 and 225,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,749.50 : 225,141.50 = 225,141.50 : x
2. Step 2: Convert to fraction form
   102,749.50/225,141.50 = 225,141.50/x
3. Step 3: Cross multiply
   102,749.50x = 225,141.50 × 225,141.50
4. Step 4: Simplify right side
   102,749.50x = 50,688,695,022.25
5. Step 5: Solve for x
   x = 50,688,695,022.25/102,749.50
6. Step 6: Final answer
   x = 493,323.03