Finding the Third Proportional to 55,424 and 114,788

Step by Step Solution

1. Step 1: Write the proportion equation
   55,424 : 114,788 = 114,788 : x
2. Step 2: Convert to fraction form
   55,424/114,788 = 114,788/x
3. Step 3: Cross multiply
   55,424x = 114,788 × 114,788
4. Step 4: Simplify right side
   55,424x = 13,176,284,944
5. Step 5: Solve for x
   x = 13,176,284,944/55,424
6. Step 6: Final answer
   x = 237,736.09