Finding the Third Proportional to 212,596.50 and 461,187

Step by Step Solution

1. Step 1: Write the proportion equation
   212,596.50 : 461,187 = 461,187 : x
2. Step 2: Convert to fraction form
   212,596.50/461,187 = 461,187/x
3. Step 3: Cross multiply
   212,596.50x = 461,187 × 461,187
4. Step 4: Simplify right side
   212,596.50x = 212,693,448,969
5. Step 5: Solve for x
   x = 212,693,448,969/212,596.50
6. Step 6: Final answer
   x = 1,000,456.02