Finding the Third Proportional to 90,734 and 195,002

Step by Step Solution

1. Step 1: Write the proportion equation
   90,734 : 195,002 = 195,002 : x
2. Step 2: Convert to fraction form
   90,734/195,002 = 195,002/x
3. Step 3: Cross multiply
   90,734x = 195,002 × 195,002
4. Step 4: Simplify right side
   90,734x = 38,025,780,004
5. Step 5: Solve for x
   x = 38,025,780,004/90,734
6. Step 6: Final answer
   x = 419,090.75