Finding the Third Proportional to 105,327 and 230,958

Step by Step Solution

1. Step 1: Write the proportion equation
   105,327 : 230,958 = 230,958 : x
2. Step 2: Convert to fraction form
   105,327/230,958 = 230,958/x
3. Step 3: Cross multiply
   105,327x = 230,958 × 230,958
4. Step 4: Simplify right side
   105,327x = 53,341,597,764
5. Step 5: Solve for x
   x = 53,341,597,764/105,327
6. Step 6: Final answer
   x = 506,438.02