Finding the Third Proportional to 175,968 and 265,456

Step by Step Solution

1. Step 1: Write the proportion equation
   175,968 : 265,456 = 265,456 : x
2. Step 2: Convert to fraction form
   175,968/265,456 = 265,456/x
3. Step 3: Cross multiply
   175,968x = 265,456 × 265,456
4. Step 4: Simplify right side
   175,968x = 70,466,887,936
5. Step 5: Solve for x
   x = 70,466,887,936/175,968
6. Step 6: Final answer
   x = 400,452.85