Finding the Third Proportional to 122,269.50 and 257,904

Step by Step Solution

1. Step 1: Write the proportion equation
   122,269.50 : 257,904 = 257,904 : x
2. Step 2: Convert to fraction form
   122,269.50/257,904 = 257,904/x
3. Step 3: Cross multiply
   122,269.50x = 257,904 × 257,904
4. Step 4: Simplify right side
   122,269.50x = 66,514,473,216
5. Step 5: Solve for x
   x = 66,514,473,216/122,269.50
6. Step 6: Final answer
   x = 543,998.90