Finding the Third Proportional to 262,386 and 412,499.25

Step by Step Solution

1. Step 1: Write the proportion equation
   262,386 : 412,499.25 = 412,499.25 : x
2. Step 2: Convert to fraction form
   262,386/412,499.25 = 412,499.25/x
3. Step 3: Cross multiply
   262,386x = 412,499.25 × 412,499.25
4. Step 4: Simplify right side
   262,386x = 170,155,631,250.56
5. Step 5: Solve for x
   x = 170,155,631,250.56/262,386
6. Step 6: Final answer
   x = 648,493.56