Finding the Third Proportional to 89,520 and 193,500

Step by Step Solution

1. Step 1: Write the proportion equation
   89,520 : 193,500 = 193,500 : x
2. Step 2: Convert to fraction form
   89,520/193,500 = 193,500/x
3. Step 3: Cross multiply
   89,520x = 193,500 × 193,500
4. Step 4: Simplify right side
   89,520x = 37,442,250,000
5. Step 5: Solve for x
   x = 37,442,250,000/89,520
6. Step 6: Final answer
   x = 418,255.70