Finding the Third Proportional to 89,240 and 194,033

Step by Step Solution

1. Step 1: Write the proportion equation
   89,240 : 194,033 = 194,033 : x
2. Step 2: Convert to fraction form
   89,240/194,033 = 194,033/x
3. Step 3: Cross multiply
   89,240x = 194,033 × 194,033
4. Step 4: Simplify right side
   89,240x = 37,648,805,089
5. Step 5: Solve for x
   x = 37,648,805,089/89,240
6. Step 6: Final answer
   x = 421,882.62