Finding the Third Proportional to 212,193 and 461,706.75

Step by Step Solution

1. Step 1: Write the proportion equation
   212,193 : 461,706.75 = 461,706.75 : x
2. Step 2: Convert to fraction form
   212,193/461,706.75 = 461,706.75/x
3. Step 3: Cross multiply
   212,193x = 461,706.75 × 461,706.75
4. Step 4: Simplify right side
   212,193x = 213,173,122,995.56
5. Step 5: Solve for x
   x = 213,173,122,995.56/212,193
6. Step 6: Final answer
   x = 1,004,619.02