Finding the Third Proportional to 415,170 and 677,927.25

Step by Step Solution

1. Step 1: Write the proportion equation
   415,170 : 677,927.25 = 677,927.25 : x
2. Step 2: Convert to fraction form
   415,170/677,927.25 = 677,927.25/x
3. Step 3: Cross multiply
   415,170x = 677,927.25 × 677,927.25
4. Step 4: Simplify right side
   415,170x = 459,585,356,292.56
5. Step 5: Solve for x
   x = 459,585,356,292.56/415,170
6. Step 6: Final answer
   x = 1,106,981.13