Finding the Third Proportional to 654,820 and 978,196

Step by Step Solution

1. Step 1: Write the proportion equation
   654,820 : 978,196 = 978,196 : x
2. Step 2: Convert to fraction form
   654,820/978,196 = 978,196/x
3. Step 3: Cross multiply
   654,820x = 978,196 × 978,196
4. Step 4: Simplify right side
   654,820x = 956,867,414,416
5. Step 5: Solve for x
   x = 956,867,414,416/654,820
6. Step 6: Final answer
   x = 1,461,267.85