Finding the Third Proportional to 371,516 and 814,256

Step by Step Solution

1. Step 1: Write the proportion equation
   371,516 : 814,256 = 814,256 : x
2. Step 2: Convert to fraction form
   371,516/814,256 = 814,256/x
3. Step 3: Cross multiply
   371,516x = 814,256 × 814,256
4. Step 4: Simplify right side
   371,516x = 663,012,833,536
5. Step 5: Solve for x
   x = 663,012,833,536/371,516
6. Step 6: Final answer
   x = 1,784,614.48