Finding the Third Proportional to 262,588.50 and 382,401

Step by Step Solution

1. Step 1: Write the proportion equation
   262,588.50 : 382,401 = 382,401 : x
2. Step 2: Convert to fraction form
   262,588.50/382,401 = 382,401/x
3. Step 3: Cross multiply
   262,588.50x = 382,401 × 382,401
4. Step 4: Simplify right side
   262,588.50x = 146,230,524,801
5. Step 5: Solve for x
   x = 146,230,524,801/262,588.50
6. Step 6: Final answer
   x = 556,880.92