Finding the Third Proportional to 89,490 and 195,570

Step by Step Solution

1. Step 1: Write the proportion equation
   89,490 : 195,570 = 195,570 : x
2. Step 2: Convert to fraction form
   89,490/195,570 = 195,570/x
3. Step 3: Cross multiply
   89,490x = 195,570 × 195,570
4. Step 4: Simplify right side
   89,490x = 38,247,624,900
5. Step 5: Solve for x
   x = 38,247,624,900/89,490
6. Step 6: Final answer
   x = 427,395.52