Finding the Third Proportional to 645,096 and 1,024,667.25

Step by Step Solution

1. Step 1: Write the proportion equation
   645,096 : 1,024,667.25 = 1,024,667.25 : x
2. Step 2: Convert to fraction form
   645,096/1,024,667.25 = 1,024,667.25/x
3. Step 3: Cross multiply
   645,096x = 1,024,667.25 × 1,024,667.25
4. Step 4: Simplify right side
   645,096x = 1,049,942,973,222.56
5. Step 5: Solve for x
   x = 1,049,942,973,222.56/645,096
6. Step 6: Final answer
   x = 1,627,576.32