Finding the Third Proportional to 213,294 and 466,764

Step by Step Solution

1. Step 1: Write the proportion equation
   213,294 : 466,764 = 466,764 : x
2. Step 2: Convert to fraction form
   213,294/466,764 = 466,764/x
3. Step 3: Cross multiply
   213,294x = 466,764 × 466,764
4. Step 4: Simplify right side
   213,294x = 217,868,631,696
5. Step 5: Solve for x
   x = 217,868,631,696/213,294
6. Step 6: Final answer
   x = 1,021,447.54