Finding the Third Proportional to 210,180 and 461,238

Step by Step Solution

1. Step 1: Write the proportion equation
   210,180 : 461,238 = 461,238 : x
2. Step 2: Convert to fraction form
   210,180/461,238 = 461,238/x
3. Step 3: Cross multiply
   210,180x = 461,238 × 461,238
4. Step 4: Simplify right side
   210,180x = 212,740,492,644
5. Step 5: Solve for x
   x = 212,740,492,644/210,180
6. Step 6: Final answer
   x = 1,012,182.38