Finding the Third Proportional to 89,042 and 193,540

Step by Step Solution

1. Step 1: Write the proportion equation
   89,042 : 193,540 = 193,540 : x
2. Step 2: Convert to fraction form
   89,042/193,540 = 193,540/x
3. Step 3: Cross multiply
   89,042x = 193,540 × 193,540
4. Step 4: Simplify right side
   89,042x = 37,457,731,600
5. Step 5: Solve for x
   x = 37,457,731,600/89,042
6. Step 6: Final answer
   x = 420,674.87