Finding the Third Proportional to 89,652 and 195,076

Step by Step Solution

1. Step 1: Write the proportion equation
   89,652 : 195,076 = 195,076 : x
2. Step 2: Convert to fraction form
   89,652/195,076 = 195,076/x
3. Step 3: Cross multiply
   89,652x = 195,076 × 195,076
4. Step 4: Simplify right side
   89,652x = 38,054,645,776
5. Step 5: Solve for x
   x = 38,054,645,776/89,652
6. Step 6: Final answer
   x = 424,470.68