Finding the Third Proportional to 654,904 and 978,312

Step by Step Solution

1. Step 1: Write the proportion equation
   654,904 : 978,312 = 978,312 : x
2. Step 2: Convert to fraction form
   654,904/978,312 = 978,312/x
3. Step 3: Cross multiply
   654,904x = 978,312 × 978,312
4. Step 4: Simplify right side
   654,904x = 957,094,369,344
5. Step 5: Solve for x
   x = 957,094,369,344/654,904
6. Step 6: Final answer
   x = 1,461,426.97