Finding the Third Proportional to 654,863 and 978,253

Step by Step Solution

1. Step 1: Write the proportion equation
   654,863 : 978,253 = 978,253 : x
2. Step 2: Convert to fraction form
   654,863/978,253 = 978,253/x
3. Step 3: Cross multiply
   654,863x = 978,253 × 978,253
4. Step 4: Simplify right side
   654,863x = 956,978,932,009
5. Step 5: Solve for x
   x = 956,978,932,009/654,863
6. Step 6: Final answer
   x = 1,461,342.19