Finding the Third Proportional to 89,653 and 195,077

Step by Step Solution

1. Step 1: Write the proportion equation
   89,653 : 195,077 = 195,077 : x
2. Step 2: Convert to fraction form
   89,653/195,077 = 195,077/x
3. Step 3: Cross multiply
   89,653x = 195,077 × 195,077
4. Step 4: Simplify right side
   89,653x = 38,055,035,929
5. Step 5: Solve for x
   x = 38,055,035,929/89,653
6. Step 6: Final answer
   x = 424,470.30