Finding the Third Proportional to 114,514 and 245,984

Step by Step Solution

1. Step 1: Write the proportion equation
   114,514 : 245,984 = 245,984 : x
2. Step 2: Convert to fraction form
   114,514/245,984 = 245,984/x
3. Step 3: Cross multiply
   114,514x = 245,984 × 245,984
4. Step 4: Simplify right side
   114,514x = 60,508,128,256
5. Step 5: Solve for x
   x = 60,508,128,256/114,514
6. Step 6: Final answer
   x = 528,390.66