Finding the Third Proportional to 88,897 and 194,398

Step by Step Solution

1. Step 1: Write the proportion equation
   88,897 : 194,398 = 194,398 : x
2. Step 2: Convert to fraction form
   88,897/194,398 = 194,398/x
3. Step 3: Cross multiply
   88,897x = 194,398 × 194,398
4. Step 4: Simplify right side
   88,897x = 37,790,582,404
5. Step 5: Solve for x
   x = 37,790,582,404/88,897
6. Step 6: Final answer
   x = 425,105.26