Finding the Third Proportional to 89,598 and 195,612

Step by Step Solution

1. Step 1: Write the proportion equation
   89,598 : 195,612 = 195,612 : x
2. Step 2: Convert to fraction form
   89,598/195,612 = 195,612/x
3. Step 3: Cross multiply
   89,598x = 195,612 × 195,612
4. Step 4: Simplify right side
   89,598x = 38,264,054,544
5. Step 5: Solve for x
   x = 38,264,054,544/89,598
6. Step 6: Final answer
   x = 427,063.71