Finding the Third Proportional to 295,475.50 and 458,401

Step by Step Solution

1. Step 1: Write the proportion equation
   295,475.50 : 458,401 = 458,401 : x
2. Step 2: Convert to fraction form
   295,475.50/458,401 = 458,401/x
3. Step 3: Cross multiply
   295,475.50x = 458,401 × 458,401
4. Step 4: Simplify right side
   295,475.50x = 210,131,476,801
5. Step 5: Solve for x
   x = 210,131,476,801/295,475.50
6. Step 6: Final answer
   x = 711,163.79