Finding the Third Proportional to 301,153.50 and 412,977

Step by Step Solution

1. Step 1: Write the proportion equation
   301,153.50 : 412,977 = 412,977 : x
2. Step 2: Convert to fraction form
   301,153.50/412,977 = 412,977/x
3. Step 3: Cross multiply
   301,153.50x = 412,977 × 412,977
4. Step 4: Simplify right side
   301,153.50x = 170,550,002,529
5. Step 5: Solve for x
   x = 170,550,002,529/301,153.50
6. Step 6: Final answer
   x = 566,322.50