Finding the Third Proportional to 347,184 and 524,500

Step by Step Solution

1. Step 1: Write the proportion equation
   347,184 : 524,500 = 524,500 : x
2. Step 2: Convert to fraction form
   347,184/524,500 = 524,500/x
3. Step 3: Cross multiply
   347,184x = 524,500 × 524,500
4. Step 4: Simplify right side
   347,184x = 275,100,250,000
5. Step 5: Solve for x
   x = 275,100,250,000/347,184
6. Step 6: Final answer
   x = 792,375.94