Finding the Third Proportional to 89,882 and 197,436

Step by Step Solution

1. Step 1: Write the proportion equation
   89,882 : 197,436 = 197,436 : x
2. Step 2: Convert to fraction form
   89,882/197,436 = 197,436/x
3. Step 3: Cross multiply
   89,882x = 197,436 × 197,436
4. Step 4: Simplify right side
   89,882x = 38,980,974,096
5. Step 5: Solve for x
   x = 38,980,974,096/89,882
6. Step 6: Final answer
   x = 433,690.55