Finding the Third Proportional to 381,306 and 821,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,306 : 821,710.50 = 821,710.50 : x
2. Step 2: Convert to fraction form
   381,306/821,710.50 = 821,710.50/x
3. Step 3: Cross multiply
   381,306x = 821,710.50 × 821,710.50
4. Step 4: Simplify right side
   381,306x = 675,208,145,810.25
5. Step 5: Solve for x
   x = 675,208,145,810.25/381,306
6. Step 6: Final answer
   x = 1,770,777.66