Finding the Third Proportional to 376,902 and 820,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   376,902 : 820,183.50 = 820,183.50 : x
2. Step 2: Convert to fraction form
   376,902/820,183.50 = 820,183.50/x
3. Step 3: Cross multiply
   376,902x = 820,183.50 × 820,183.50
4. Step 4: Simplify right side
   376,902x = 672,700,973,672.25
5. Step 5: Solve for x
   x = 672,700,973,672.25/376,902
6. Step 6: Final answer
   x = 1,784,816.67