Finding the Third Proportional to 72,236.25 and 174,024

Step by Step Solution

1. Step 1: Write the proportion equation
   72,236.25 : 174,024 = 174,024 : x
2. Step 2: Convert to fraction form
   72,236.25/174,024 = 174,024/x
3. Step 3: Cross multiply
   72,236.25x = 174,024 × 174,024
4. Step 4: Simplify right side
   72,236.25x = 30,284,352,576
5. Step 5: Solve for x
   x = 30,284,352,576/72,236.25
6. Step 6: Final answer
   x = 419,240.38