Finding the Third Proportional to 260,039 and 412,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   260,039 : 412,606.50 = 412,606.50 : x
2. Step 2: Convert to fraction form
   260,039/412,606.50 = 412,606.50/x
3. Step 3: Cross multiply
   260,039x = 412,606.50 × 412,606.50
4. Step 4: Simplify right side
   260,039x = 170,244,123,842.25
5. Step 5: Solve for x
   x = 170,244,123,842.25/260,039
6. Step 6: Final answer
   x = 654,686.89