Finding the Third Proportional to 89,892 and 197,064

Step by Step Solution

1. Step 1: Write the proportion equation
   89,892 : 197,064 = 197,064 : x
2. Step 2: Convert to fraction form
   89,892/197,064 = 197,064/x
3. Step 3: Cross multiply
   89,892x = 197,064 × 197,064
4. Step 4: Simplify right side
   89,892x = 38,834,220,096
5. Step 5: Solve for x
   x = 38,834,220,096/89,892
6. Step 6: Final answer
   x = 432,009.75