Finding the Third Proportional to 382,243.50 and 830,826

Step by Step Solution

1. Step 1: Write the proportion equation
   382,243.50 : 830,826 = 830,826 : x
2. Step 2: Convert to fraction form
   382,243.50/830,826 = 830,826/x
3. Step 3: Cross multiply
   382,243.50x = 830,826 × 830,826
4. Step 4: Simplify right side
   382,243.50x = 690,271,842,276
5. Step 5: Solve for x
   x = 690,271,842,276/382,243.50
6. Step 6: Final answer
   x = 1,805,843.24