Finding the Third Proportional to 654,837 and 978,222

Step by Step Solution

1. Step 1: Write the proportion equation
   654,837 : 978,222 = 978,222 : x
2. Step 2: Convert to fraction form
   654,837/978,222 = 978,222/x
3. Step 3: Cross multiply
   654,837x = 978,222 × 978,222
4. Step 4: Simplify right side
   654,837x = 956,918,281,284
5. Step 5: Solve for x
   x = 956,918,281,284/654,837
6. Step 6: Final answer
   x = 1,461,307.59