Finding the Third Proportional to 52,296 and 109,456

Step by Step Solution

1. Step 1: Write the proportion equation
   52,296 : 109,456 = 109,456 : x
2. Step 2: Convert to fraction form
   52,296/109,456 = 109,456/x
3. Step 3: Cross multiply
   52,296x = 109,456 × 109,456
4. Step 4: Simplify right side
   52,296x = 11,980,615,936
5. Step 5: Solve for x
   x = 11,980,615,936/52,296
6. Step 6: Final answer
   x = 229,092.40