Finding the Third Proportional to 825,984 and 1,163,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   825,984 : 1,163,185.50 = 1,163,185.50 : x
2. Step 2: Convert to fraction form
   825,984/1,163,185.50 = 1,163,185.50/x
3. Step 3: Cross multiply
   825,984x = 1,163,185.50 × 1,163,185.50
4. Step 4: Simplify right side
   825,984x = 1,353,000,507,410.25
5. Step 5: Solve for x
   x = 1,353,000,507,410.25/825,984
6. Step 6: Final answer
   x = 1,638,046.87