Finding the Third Proportional to 654,834 and 978,217

Step by Step Solution

1. Step 1: Write the proportion equation
   654,834 : 978,217 = 978,217 : x
2. Step 2: Convert to fraction form
   654,834/978,217 = 978,217/x
3. Step 3: Cross multiply
   654,834x = 978,217 × 978,217
4. Step 4: Simplify right side
   654,834x = 956,908,499,089
5. Step 5: Solve for x
   x = 956,908,499,089/654,834
6. Step 6: Final answer
   x = 1,461,299.35