Finding the Third Proportional to 89,520 and 195,024

Step by Step Solution

1. Step 1: Write the proportion equation
   89,520 : 195,024 = 195,024 : x
2. Step 2: Convert to fraction form
   89,520/195,024 = 195,024/x
3. Step 3: Cross multiply
   89,520x = 195,024 × 195,024
4. Step 4: Simplify right side
   89,520x = 38,034,360,576
5. Step 5: Solve for x
   x = 38,034,360,576/89,520
6. Step 6: Final answer
   x = 424,869.98