Finding the Third Proportional to 380,992 and 814,468

Step by Step Solution

1. Step 1: Write the proportion equation
   380,992 : 814,468 = 814,468 : x
2. Step 2: Convert to fraction form
   380,992/814,468 = 814,468/x
3. Step 3: Cross multiply
   380,992x = 814,468 × 814,468
4. Step 4: Simplify right side
   380,992x = 663,358,123,024
5. Step 5: Solve for x
   x = 663,358,123,024/380,992
6. Step 6: Final answer
   x = 1,741,134.00