Finding the Third Proportional to 970,943 and 1,456,414

Step by Step Solution

1. Step 1: Write the proportion equation
   970,943 : 1,456,414 = 1,456,414 : x
2. Step 2: Convert to fraction form
   970,943/1,456,414 = 1,456,414/x
3. Step 3: Cross multiply
   970,943x = 1,456,414 × 1,456,414
4. Step 4: Simplify right side
   970,943x = 2,121,141,739,396
5. Step 5: Solve for x
   x = 2,121,141,739,396/970,943
6. Step 6: Final answer
   x = 2,184,620.25