Finding the Third Proportional to 105,269.63 and 230,222.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,269.63 : 230,222.25 = 230,222.25 : x
2. Step 2: Convert to fraction form
   105,269.63/230,222.25 = 230,222.25/x
3. Step 3: Cross multiply
   105,269.63x = 230,222.25 × 230,222.25
4. Step 4: Simplify right side
   105,269.63x = 53,002,284,395.06
5. Step 5: Solve for x
   x = 53,002,284,395.06/105,269.63
6. Step 6: Final answer
   x = 503,490.77