Finding the Third Proportional to 105,029.50 and 230,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,029.50 : 230,467.50 = 230,467.50 : x
2. Step 2: Convert to fraction form
   105,029.50/230,467.50 = 230,467.50/x
3. Step 3: Cross multiply
   105,029.50x = 230,467.50 × 230,467.50
4. Step 4: Simplify right side
   105,029.50x = 53,115,268,556.25
5. Step 5: Solve for x
   x = 53,115,268,556.25/105,029.50
6. Step 6: Final answer
   x = 505,717.62