Finding the Third Proportional to 89,938 and 194,283

Step by Step Solution

1. Step 1: Write the proportion equation
   89,938 : 194,283 = 194,283 : x
2. Step 2: Convert to fraction form
   89,938/194,283 = 194,283/x
3. Step 3: Cross multiply
   89,938x = 194,283 × 194,283
4. Step 4: Simplify right side
   89,938x = 37,745,884,089
5. Step 5: Solve for x
   x = 37,745,884,089/89,938
6. Step 6: Final answer
   x = 419,687.83