Finding the Third Proportional to 89,446 and 195,478

Step by Step Solution

1. Step 1: Write the proportion equation
   89,446 : 195,478 = 195,478 : x
2. Step 2: Convert to fraction form
   89,446/195,478 = 195,478/x
3. Step 3: Cross multiply
   89,446x = 195,478 × 195,478
4. Step 4: Simplify right side
   89,446x = 38,211,648,484
5. Step 5: Solve for x
   x = 38,211,648,484/89,446
6. Step 6: Final answer
   x = 427,203.55