Finding the Third Proportional to 105,052.50 and 230,514

Step by Step Solution

1. Step 1: Write the proportion equation
   105,052.50 : 230,514 = 230,514 : x
2. Step 2: Convert to fraction form
   105,052.50/230,514 = 230,514/x
3. Step 3: Cross multiply
   105,052.50x = 230,514 × 230,514
4. Step 4: Simplify right side
   105,052.50x = 53,136,704,196
5. Step 5: Solve for x
   x = 53,136,704,196/105,052.50
6. Step 6: Final answer
   x = 505,810.94