Finding the Third Proportional to 970,876 and 1,456,314

Step by Step Solution

1. Step 1: Write the proportion equation
   970,876 : 1,456,314 = 1,456,314 : x
2. Step 2: Convert to fraction form
   970,876/1,456,314 = 1,456,314/x
3. Step 3: Cross multiply
   970,876x = 1,456,314 × 1,456,314
4. Step 4: Simplify right side
   970,876x = 2,120,850,466,596
5. Step 5: Solve for x
   x = 2,120,850,466,596/970,876
6. Step 6: Final answer
   x = 2,184,471