Finding the Third Proportional to 443,106 and 966,414

Step by Step Solution

1. Step 1: Write the proportion equation
   443,106 : 966,414 = 966,414 : x
2. Step 2: Convert to fraction form
   443,106/966,414 = 966,414/x
3. Step 3: Cross multiply
   443,106x = 966,414 × 966,414
4. Step 4: Simplify right side
   443,106x = 933,956,019,396
5. Step 5: Solve for x
   x = 933,956,019,396/443,106
6. Step 6: Final answer
   x = 2,107,748.53