Finding the Third Proportional to 116,712 and 175,024

Step by Step Solution

1. Step 1: Write the proportion equation
   116,712 : 175,024 = 175,024 : x
2. Step 2: Convert to fraction form
   116,712/175,024 = 175,024/x
3. Step 3: Cross multiply
   116,712x = 175,024 × 175,024
4. Step 4: Simplify right side
   116,712x = 30,633,400,576
5. Step 5: Solve for x
   x = 30,633,400,576/116,712
6. Step 6: Final answer
   x = 262,470.02