Finding the Third Proportional to 89,571 and 195,516

Step by Step Solution

1. Step 1: Write the proportion equation
   89,571 : 195,516 = 195,516 : x
2. Step 2: Convert to fraction form
   89,571/195,516 = 195,516/x
3. Step 3: Cross multiply
   89,571x = 195,516 × 195,516
4. Step 4: Simplify right side
   89,571x = 38,226,506,256
5. Step 5: Solve for x
   x = 38,226,506,256/89,571
6. Step 6: Final answer
   x = 426,773.24