Finding the Third Proportional to 51,786 and 112,212

Step by Step Solution

1. Step 1: Write the proportion equation
   51,786 : 112,212 = 112,212 : x
2. Step 2: Convert to fraction form
   51,786/112,212 = 112,212/x
3. Step 3: Cross multiply
   51,786x = 112,212 × 112,212
4. Step 4: Simplify right side
   51,786x = 12,591,532,944
5. Step 5: Solve for x
   x = 12,591,532,944/51,786
6. Step 6: Final answer
   x = 243,145.50