Finding the Third Proportional to 51,212 and 112,380

Step by Step Solution

1. Step 1: Write the proportion equation
   51,212 : 112,380 = 112,380 : x
2. Step 2: Convert to fraction form
   51,212/112,380 = 112,380/x
3. Step 3: Cross multiply
   51,212x = 112,380 × 112,380
4. Step 4: Simplify right side
   51,212x = 12,629,264,400
5. Step 5: Solve for x
   x = 12,629,264,400/51,212
6. Step 6: Final answer
   x = 246,607.52