Finding the Third Proportional to 375,174 and 821,499

Step by Step Solution

1. Step 1: Write the proportion equation
   375,174 : 821,499 = 821,499 : x
2. Step 2: Convert to fraction form
   375,174/821,499 = 821,499/x
3. Step 3: Cross multiply
   375,174x = 821,499 × 821,499
4. Step 4: Simplify right side
   375,174x = 674,860,607,001
5. Step 5: Solve for x
   x = 674,860,607,001/375,174
6. Step 6: Final answer
   x = 1,798,793.65