Finding the Third Proportional to 654,822 and 978,199

Step by Step Solution

1. Step 1: Write the proportion equation
   654,822 : 978,199 = 978,199 : x
2. Step 2: Convert to fraction form
   654,822/978,199 = 978,199/x
3. Step 3: Cross multiply
   654,822x = 978,199 × 978,199
4. Step 4: Simplify right side
   654,822x = 956,873,283,601
5. Step 5: Solve for x
   x = 956,873,283,601/654,822
6. Step 6: Final answer
   x = 1,461,272.35