Finding the Third Proportional to 51,700 and 107,240

Step by Step Solution

1. Step 1: Write the proportion equation
   51,700 : 107,240 = 107,240 : x
2. Step 2: Convert to fraction form
   51,700/107,240 = 107,240/x
3. Step 3: Cross multiply
   51,700x = 107,240 × 107,240
4. Step 4: Simplify right side
   51,700x = 11,500,417,600
5. Step 5: Solve for x
   x = 11,500,417,600/51,700
6. Step 6: Final answer
   x = 222,445.21