Finding the Third Proportional to 375,996 and 814,308

Step by Step Solution

1. Step 1: Write the proportion equation
   375,996 : 814,308 = 814,308 : x
2. Step 2: Convert to fraction form
   375,996/814,308 = 814,308/x
3. Step 3: Cross multiply
   375,996x = 814,308 × 814,308
4. Step 4: Simplify right side
   375,996x = 663,097,518,864
5. Step 5: Solve for x
   x = 663,097,518,864/375,996
6. Step 6: Final answer
   x = 1,763,575.99