Finding the Third Proportional to 382,123.50 and 809,763

Step by Step Solution

1. Step 1: Write the proportion equation
   382,123.50 : 809,763 = 809,763 : x
2. Step 2: Convert to fraction form
   382,123.50/809,763 = 809,763/x
3. Step 3: Cross multiply
   382,123.50x = 809,763 × 809,763
4. Step 4: Simplify right side
   382,123.50x = 655,716,116,169
5. Step 5: Solve for x
   x = 655,716,116,169/382,123.50
6. Step 6: Final answer
   x = 1,715,979.56