Finding the Third Proportional to 654,826 and 978,205

Step by Step Solution

1. Step 1: Write the proportion equation
   654,826 : 978,205 = 978,205 : x
2. Step 2: Convert to fraction form
   654,826/978,205 = 978,205/x
3. Step 3: Cross multiply
   654,826x = 978,205 × 978,205
4. Step 4: Simplify right side
   654,826x = 956,885,022,025
5. Step 5: Solve for x
   x = 956,885,022,025/654,826
6. Step 6: Final answer
   x = 1,461,281.35