Finding the Third Proportional to 213,664 and 499,164

Step by Step Solution

1. Step 1: Write the proportion equation
   213,664 : 499,164 = 499,164 : x
2. Step 2: Convert to fraction form
   213,664/499,164 = 499,164/x
3. Step 3: Cross multiply
   213,664x = 499,164 × 499,164
4. Step 4: Simplify right side
   213,664x = 249,164,698,896
5. Step 5: Solve for x
   x = 249,164,698,896/213,664
6. Step 6: Final answer
   x = 1,166,151.99