Finding the Third Proportional to 89,757 and 195,272

Step by Step Solution

1. Step 1: Write the proportion equation
   89,757 : 195,272 = 195,272 : x
2. Step 2: Convert to fraction form
   89,757/195,272 = 195,272/x
3. Step 3: Cross multiply
   89,757x = 195,272 × 195,272
4. Step 4: Simplify right side
   89,757x = 38,131,153,984
5. Step 5: Solve for x
   x = 38,131,153,984/89,757
6. Step 6: Final answer
   x = 424,826.52