Finding the Third Proportional to 89,518 and 193,496

Step by Step Solution

1. Step 1: Write the proportion equation
   89,518 : 193,496 = 193,496 : x
2. Step 2: Convert to fraction form
   89,518/193,496 = 193,496/x
3. Step 3: Cross multiply
   89,518x = 193,496 × 193,496
4. Step 4: Simplify right side
   89,518x = 37,440,702,016
5. Step 5: Solve for x
   x = 37,440,702,016/89,518
6. Step 6: Final answer
   x = 418,247.75