Finding the Third Proportional to 89,989 and 193,802

Step by Step Solution

1. Step 1: Write the proportion equation
   89,989 : 193,802 = 193,802 : x
2. Step 2: Convert to fraction form
   89,989/193,802 = 193,802/x
3. Step 3: Cross multiply
   89,989x = 193,802 × 193,802
4. Step 4: Simplify right side
   89,989x = 37,559,215,204
5. Step 5: Solve for x
   x = 37,559,215,204/89,989
6. Step 6: Final answer
   x = 417,375.63