Finding the Third Proportional to 49,814 and 105,352

Step by Step Solution

1. Step 1: Write the proportion equation
   49,814 : 105,352 = 105,352 : x
2. Step 2: Convert to fraction form
   49,814/105,352 = 105,352/x
3. Step 3: Cross multiply
   49,814x = 105,352 × 105,352
4. Step 4: Simplify right side
   49,814x = 11,099,043,904
5. Step 5: Solve for x
   x = 11,099,043,904/49,814
6. Step 6: Final answer
   x = 222,809.73