Finding the Third Proportional to 654,928 and 978,347

Step by Step Solution

1. Step 1: Write the proportion equation
   654,928 : 978,347 = 978,347 : x
2. Step 2: Convert to fraction form
   654,928/978,347 = 978,347/x
3. Step 3: Cross multiply
   654,928x = 978,347 × 978,347
4. Step 4: Simplify right side
   654,928x = 957,162,852,409
5. Step 5: Solve for x
   x = 957,162,852,409/654,928
6. Step 6: Final answer
   x = 1,461,477.98