Finding the Third Proportional to 50,899 and 109,322

Step by Step Solution

1. Step 1: Write the proportion equation
   50,899 : 109,322 = 109,322 : x
2. Step 2: Convert to fraction form
   50,899/109,322 = 109,322/x
3. Step 3: Cross multiply
   50,899x = 109,322 × 109,322
4. Step 4: Simplify right side
   50,899x = 11,951,299,684
5. Step 5: Solve for x
   x = 11,951,299,684/50,899
6. Step 6: Final answer
   x = 234,804.21