Finding the Third Proportional to 382,116 and 809,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,116 : 809,749.50 = 809,749.50 : x
2. Step 2: Convert to fraction form
   382,116/809,749.50 = 809,749.50/x
3. Step 3: Cross multiply
   382,116x = 809,749.50 × 809,749.50
4. Step 4: Simplify right side
   382,116x = 655,694,252,750.25
5. Step 5: Solve for x
   x = 655,694,252,750.25/382,116
6. Step 6: Final answer
   x = 1,715,956.03