Finding the Third Proportional to 262,467 and 388,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,467 : 388,165.50 = 388,165.50 : x
2. Step 2: Convert to fraction form
   262,467/388,165.50 = 388,165.50/x
3. Step 3: Cross multiply
   262,467x = 388,165.50 × 388,165.50
4. Step 4: Simplify right side
   262,467x = 150,672,455,390.25
5. Step 5: Solve for x
   x = 150,672,455,390.25/262,467
6. Step 6: Final answer
   x = 574,062.47