Finding the Third Proportional to 89,732 and 194,324

Step by Step Solution

1. Step 1: Write the proportion equation
   89,732 : 194,324 = 194,324 : x
2. Step 2: Convert to fraction form
   89,732/194,324 = 194,324/x
3. Step 3: Cross multiply
   89,732x = 194,324 × 194,324
4. Step 4: Simplify right side
   89,732x = 37,761,816,976
5. Step 5: Solve for x
   x = 37,761,816,976/89,732
6. Step 6: Final answer
   x = 420,828.88