Finding the Third Proportional to 89,328 and 189,024

Step by Step Solution

1. Step 1: Write the proportion equation
   89,328 : 189,024 = 189,024 : x
2. Step 2: Convert to fraction form
   89,328/189,024 = 189,024/x
3. Step 3: Cross multiply
   89,328x = 189,024 × 189,024
4. Step 4: Simplify right side
   89,328x = 35,730,072,576
5. Step 5: Solve for x
   x = 35,730,072,576/89,328
6. Step 6: Final answer
   x = 399,987.38