Finding the Third Proportional to 116,736 and 175,968

Step by Step Solution

1. Step 1: Write the proportion equation
   116,736 : 175,968 = 175,968 : x
2. Step 2: Convert to fraction form
   116,736/175,968 = 175,968/x
3. Step 3: Cross multiply
   116,736x = 175,968 × 175,968
4. Step 4: Simplify right side
   116,736x = 30,964,737,024
5. Step 5: Solve for x
   x = 30,964,737,024/116,736
6. Step 6: Final answer
   x = 265,254.39