Finding the Third Proportional to 105,178 and 230,768

Step by Step Solution

1. Step 1: Write the proportion equation
   105,178 : 230,768 = 230,768 : x
2. Step 2: Convert to fraction form
   105,178/230,768 = 230,768/x
3. Step 3: Cross multiply
   105,178x = 230,768 × 230,768
4. Step 4: Simplify right side
   105,178x = 53,253,869,824
5. Step 5: Solve for x
   x = 53,253,869,824/105,178
6. Step 6: Final answer
   x = 506,321.38