Finding the Third Proportional to 105,642 and 230,238

Step by Step Solution

1. Step 1: Write the proportion equation
   105,642 : 230,238 = 230,238 : x
2. Step 2: Convert to fraction form
   105,642/230,238 = 230,238/x
3. Step 3: Cross multiply
   105,642x = 230,238 × 230,238
4. Step 4: Simplify right side
   105,642x = 53,009,536,644
5. Step 5: Solve for x
   x = 53,009,536,644/105,642
6. Step 6: Final answer
   x = 501,784.68