Finding the Third Proportional to 89,538 and 195,052

Step by Step Solution

1. Step 1: Write the proportion equation
   89,538 : 195,052 = 195,052 : x
2. Step 2: Convert to fraction form
   89,538/195,052 = 195,052/x
3. Step 3: Cross multiply
   89,538x = 195,052 × 195,052
4. Step 4: Simplify right side
   89,538x = 38,045,282,704
5. Step 5: Solve for x
   x = 38,045,282,704/89,538
6. Step 6: Final answer
   x = 424,906.55