Finding the Third Proportional to 210,464 and 461,674

Step by Step Solution

1. Step 1: Write the proportion equation
   210,464 : 461,674 = 461,674 : x
2. Step 2: Convert to fraction form
   210,464/461,674 = 461,674/x
3. Step 3: Cross multiply
   210,464x = 461,674 × 461,674
4. Step 4: Simplify right side
   210,464x = 213,142,882,276
5. Step 5: Solve for x
   x = 213,142,882,276/210,464
6. Step 6: Final answer
   x = 1,012,728.46