Finding the Third Proportional to 383,463 and 830,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   383,463 : 830,389.50 = 830,389.50 : x
2. Step 2: Convert to fraction form
   383,463/830,389.50 = 830,389.50/x
3. Step 3: Cross multiply
   383,463x = 830,389.50 × 830,389.50
4. Step 4: Simplify right side
   383,463x = 689,546,721,710.25
5. Step 5: Solve for x
   x = 689,546,721,710.25/383,463
6. Step 6: Final answer
   x = 1,798,209.27