Finding the Third Proportional to 108,912 and 175,456

Step by Step Solution

1. Step 1: Write the proportion equation
   108,912 : 175,456 = 175,456 : x
2. Step 2: Convert to fraction form
   108,912/175,456 = 175,456/x
3. Step 3: Cross multiply
   108,912x = 175,456 × 175,456
4. Step 4: Simplify right side
   108,912x = 30,784,807,936
5. Step 5: Solve for x
   x = 30,784,807,936/108,912
6. Step 6: Final answer
   x = 282,657.63