Finding the Third Proportional to 89,892 and 195,633

Step by Step Solution

1. Step 1: Write the proportion equation
   89,892 : 195,633 = 195,633 : x
2. Step 2: Convert to fraction form
   89,892/195,633 = 195,633/x
3. Step 3: Cross multiply
   89,892x = 195,633 × 195,633
4. Step 4: Simplify right side
   89,892x = 38,272,270,689
5. Step 5: Solve for x
   x = 38,272,270,689/89,892
6. Step 6: Final answer
   x = 425,758.36