Finding the Third Proportional to 213,164.16 and 466,423.31

Step by Step Solution

1. Step 1: Write the proportion equation
   213,164.16 : 466,423.31 = 466,423.31 : x
2. Step 2: Convert to fraction form
   213,164.16/466,423.31 = 466,423.31/x
3. Step 3: Cross multiply
   213,164.16x = 466,423.31 × 466,423.31
4. Step 4: Simplify right side
   213,164.16x = 217,550,706,443.47
5. Step 5: Solve for x
   x = 217,550,706,443.47/213,164.16
6. Step 6: Final answer
   x = 1,020,578.27