Finding the Third Proportional to 786,251 and 1,178,144

Step by Step Solution

1. Step 1: Write the proportion equation
   786,251 : 1,178,144 = 1,178,144 : x
2. Step 2: Convert to fraction form
   786,251/1,178,144 = 1,178,144/x
3. Step 3: Cross multiply
   786,251x = 1,178,144 × 1,178,144
4. Step 4: Simplify right side
   786,251x = 1,388,023,284,736
5. Step 5: Solve for x
   x = 1,388,023,284,736/786,251
6. Step 6: Final answer
   x = 1,765,369.18