Finding the Third Proportional to 89,729 and 194,320

Step by Step Solution

1. Step 1: Write the proportion equation
   89,729 : 194,320 = 194,320 : x
2. Step 2: Convert to fraction form
   89,729/194,320 = 194,320/x
3. Step 3: Cross multiply
   89,729x = 194,320 × 194,320
4. Step 4: Simplify right side
   89,729x = 37,760,262,400
5. Step 5: Solve for x
   x = 37,760,262,400/89,729
6. Step 6: Final answer
   x = 420,825.62