Finding the Third Proportional to 345,757 and 466,105

Step by Step Solution

1. Step 1: Write the proportion equation
   345,757 : 466,105 = 466,105 : x
2. Step 2: Convert to fraction form
   345,757/466,105 = 466,105/x
3. Step 3: Cross multiply
   345,757x = 466,105 × 466,105
4. Step 4: Simplify right side
   345,757x = 217,253,871,025
5. Step 5: Solve for x
   x = 217,253,871,025/345,757
6. Step 6: Final answer
   x = 628,342.65