Finding the Third Proportional to 89,658 and 195,088

Step by Step Solution

1. Step 1: Write the proportion equation
   89,658 : 195,088 = 195,088 : x
2. Step 2: Convert to fraction form
   89,658/195,088 = 195,088/x
3. Step 3: Cross multiply
   89,658x = 195,088 × 195,088
4. Step 4: Simplify right side
   89,658x = 38,059,327,744
5. Step 5: Solve for x
   x = 38,059,327,744/89,658
6. Step 6: Final answer
   x = 424,494.50