Finding the Third Proportional to 102,764 and 225,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,764 : 225,165.50 = 225,165.50 : x
2. Step 2: Convert to fraction form
   102,764/225,165.50 = 225,165.50/x
3. Step 3: Cross multiply
   102,764x = 225,165.50 × 225,165.50
4. Step 4: Simplify right side
   102,764x = 50,699,502,390.25
5. Step 5: Solve for x
   x = 50,699,502,390.25/102,764
6. Step 6: Final answer
   x = 493,358.59