Finding the Third Proportional to 90,684 and 197,499

Step by Step Solution

1. Step 1: Write the proportion equation
   90,684 : 197,499 = 197,499 : x
2. Step 2: Convert to fraction form
   90,684/197,499 = 197,499/x
3. Step 3: Cross multiply
   90,684x = 197,499 × 197,499
4. Step 4: Simplify right side
   90,684x = 39,005,855,001
5. Step 5: Solve for x
   x = 39,005,855,001/90,684
6. Step 6: Final answer
   x = 430,129.41