Finding the Third Proportional to 654,924 and 978,342

Step by Step Solution

1. Step 1: Write the proportion equation
   654,924 : 978,342 = 978,342 : x
2. Step 2: Convert to fraction form
   654,924/978,342 = 978,342/x
3. Step 3: Cross multiply
   654,924x = 978,342 × 978,342
4. Step 4: Simplify right side
   654,924x = 957,153,068,964
5. Step 5: Solve for x
   x = 957,153,068,964/654,924
6. Step 6: Final answer
   x = 1,461,471.97