Finding the Third Proportional to 105,102 and 230,644

Step by Step Solution

1. Step 1: Write the proportion equation
   105,102 : 230,644 = 230,644 : x
2. Step 2: Convert to fraction form
   105,102/230,644 = 230,644/x
3. Step 3: Cross multiply
   105,102x = 230,644 × 230,644
4. Step 4: Simplify right side
   105,102x = 53,196,654,736
5. Step 5: Solve for x
   x = 53,196,654,736/105,102
6. Step 6: Final answer
   x = 506,143.13