Finding the Third Proportional to 103,220 and 226,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,220 : 226,738.50 = 226,738.50 : x
2. Step 2: Convert to fraction form
   103,220/226,738.50 = 226,738.50/x
3. Step 3: Cross multiply
   103,220x = 226,738.50 × 226,738.50
4. Step 4: Simplify right side
   103,220x = 51,410,347,382.25
5. Step 5: Solve for x
   x = 51,410,347,382.25/103,220
6. Step 6: Final answer
   x = 498,065.76