Finding the Third Proportional to 89,478 and 194,938

Step by Step Solution

1. Step 1: Write the proportion equation
   89,478 : 194,938 = 194,938 : x
2. Step 2: Convert to fraction form
   89,478/194,938 = 194,938/x
3. Step 3: Cross multiply
   89,478x = 194,938 × 194,938
4. Step 4: Simplify right side
   89,478x = 38,000,823,844
5. Step 5: Solve for x
   x = 38,000,823,844/89,478
6. Step 6: Final answer
   x = 424,694.60