Finding the Third Proportional to 377,654.50 and 821,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   377,654.50 : 821,713.50 = 821,713.50 : x
2. Step 2: Convert to fraction form
   377,654.50/821,713.50 = 821,713.50/x
3. Step 3: Cross multiply
   377,654.50x = 821,713.50 × 821,713.50
4. Step 4: Simplify right side
   377,654.50x = 675,213,076,082.25
5. Step 5: Solve for x
   x = 675,213,076,082.25/377,654.50
6. Step 6: Final answer
   x = 1,787,912.17