Finding the Third Proportional to 78,960 and 171,024

Step by Step Solution

1. Step 1: Write the proportion equation
   78,960 : 171,024 = 171,024 : x
2. Step 2: Convert to fraction form
   78,960/171,024 = 171,024/x
3. Step 3: Cross multiply
   78,960x = 171,024 × 171,024
4. Step 4: Simplify right side
   78,960x = 29,249,208,576
5. Step 5: Solve for x
   x = 29,249,208,576/78,960
6. Step 6: Final answer
   x = 370,430.71