Finding the Third Proportional to 89,870 and 195,598

Step by Step Solution

1. Step 1: Write the proportion equation
   89,870 : 195,598 = 195,598 : x
2. Step 2: Convert to fraction form
   89,870/195,598 = 195,598/x
3. Step 3: Cross multiply
   89,870x = 195,598 × 195,598
4. Step 4: Simplify right side
   89,870x = 38,258,577,604
5. Step 5: Solve for x
   x = 38,258,577,604/89,870
6. Step 6: Final answer
   x = 425,710.22