Finding the Third Proportional to 90,077 and 195,538

Step by Step Solution

1. Step 1: Write the proportion equation
   90,077 : 195,538 = 195,538 : x
2. Step 2: Convert to fraction form
   90,077/195,538 = 195,538/x
3. Step 3: Cross multiply
   90,077x = 195,538 × 195,538
4. Step 4: Simplify right side
   90,077x = 38,235,109,444
5. Step 5: Solve for x
   x = 38,235,109,444/90,077
6. Step 6: Final answer
   x = 424,471.39