Finding the Third Proportional to 105,027 and 230,463.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,027 : 230,463.75 = 230,463.75 : x
2. Step 2: Convert to fraction form
   105,027/230,463.75 = 230,463.75/x
3. Step 3: Cross multiply
   105,027x = 230,463.75 × 230,463.75
4. Step 4: Simplify right side
   105,027x = 53,113,540,064.06
5. Step 5: Solve for x
   x = 53,113,540,064.06/105,027
6. Step 6: Final answer
   x = 505,713.20