Finding the Third Proportional to 89,371 and 196,453

Step by Step Solution

1. Step 1: Write the proportion equation
   89,371 : 196,453 = 196,453 : x
2. Step 2: Convert to fraction form
   89,371/196,453 = 196,453/x
3. Step 3: Cross multiply
   89,371x = 196,453 × 196,453
4. Step 4: Simplify right side
   89,371x = 38,593,781,209
5. Step 5: Solve for x
   x = 38,593,781,209/89,371
6. Step 6: Final answer
   x = 431,837.86