Finding the Third Proportional to 212,166 and 461,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,166 : 461,146.50 = 461,146.50 : x
2. Step 2: Convert to fraction form
   212,166/461,146.50 = 461,146.50/x
3. Step 3: Cross multiply
   212,166x = 461,146.50 × 461,146.50
4. Step 4: Simplify right side
   212,166x = 212,656,094,462.25
5. Step 5: Solve for x
   x = 212,656,094,462.25/212,166
6. Step 6: Final answer
   x = 1,002,309.96