Finding the Third Proportional to 89,942 and 197,380

Step by Step Solution

1. Step 1: Write the proportion equation
   89,942 : 197,380 = 197,380 : x
2. Step 2: Convert to fraction form
   89,942/197,380 = 197,380/x
3. Step 3: Cross multiply
   89,942x = 197,380 × 197,380
4. Step 4: Simplify right side
   89,942x = 38,958,864,400
5. Step 5: Solve for x
   x = 38,958,864,400/89,942
6. Step 6: Final answer
   x = 433,155.42