Finding the Third Proportional to 89,720 and 195,156

Step by Step Solution

1. Step 1: Write the proportion equation
   89,720 : 195,156 = 195,156 : x
2. Step 2: Convert to fraction form
   89,720/195,156 = 195,156/x
3. Step 3: Cross multiply
   89,720x = 195,156 × 195,156
4. Step 4: Simplify right side
   89,720x = 38,085,864,336
5. Step 5: Solve for x
   x = 38,085,864,336/89,720
6. Step 6: Final answer
   x = 424,496.93