Finding the Third Proportional to 90,732 and 193,500

Step by Step Solution

1. Step 1: Write the proportion equation
   90,732 : 193,500 = 193,500 : x
2. Step 2: Convert to fraction form
   90,732/193,500 = 193,500/x
3. Step 3: Cross multiply
   90,732x = 193,500 × 193,500
4. Step 4: Simplify right side
   90,732x = 37,442,250,000
5. Step 5: Solve for x
   x = 37,442,250,000/90,732
6. Step 6: Final answer
   x = 412,668.63