Finding the Third Proportional to 89,562 and 195,204

Step by Step Solution

1. Step 1: Write the proportion equation
   89,562 : 195,204 = 195,204 : x
2. Step 2: Convert to fraction form
   89,562/195,204 = 195,204/x
3. Step 3: Cross multiply
   89,562x = 195,204 × 195,204
4. Step 4: Simplify right side
   89,562x = 38,104,601,616
5. Step 5: Solve for x
   x = 38,104,601,616/89,562
6. Step 6: Final answer
   x = 425,455.01