Finding the Third Proportional to 384,024 and 574,500

Step by Step Solution

1. Step 1: Write the proportion equation
   384,024 : 574,500 = 574,500 : x
2. Step 2: Convert to fraction form
   384,024/574,500 = 574,500/x
3. Step 3: Cross multiply
   384,024x = 574,500 × 574,500
4. Step 4: Simplify right side
   384,024x = 330,050,250,000
5. Step 5: Solve for x
   x = 330,050,250,000/384,024
6. Step 6: Final answer
   x = 859,452.14