Finding the Third Proportional to 56,295 and 120,456

Step by Step Solution

1. Step 1: Write the proportion equation
   56,295 : 120,456 = 120,456 : x
2. Step 2: Convert to fraction form
   56,295/120,456 = 120,456/x
3. Step 3: Cross multiply
   56,295x = 120,456 × 120,456
4. Step 4: Simplify right side
   56,295x = 14,509,647,936
5. Step 5: Solve for x
   x = 14,509,647,936/56,295
6. Step 6: Final answer
   x = 257,743.10