Finding the Third Proportional to 105,903 and 206,484.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,903 : 206,484.75 = 206,484.75 : x
2. Step 2: Convert to fraction form
   105,903/206,484.75 = 206,484.75/x
3. Step 3: Cross multiply
   105,903x = 206,484.75 × 206,484.75
4. Step 4: Simplify right side
   105,903x = 42,635,951,982.56
5. Step 5: Solve for x
   x = 42,635,951,982.56/105,903
6. Step 6: Final answer
   x = 402,594.37