Finding the Third Proportional to 825,842 and 1,250,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   825,842 : 1,250,153.50 = 1,250,153.50 : x
2. Step 2: Convert to fraction form
   825,842/1,250,153.50 = 1,250,153.50/x
3. Step 3: Cross multiply
   825,842x = 1,250,153.50 × 1,250,153.50
4. Step 4: Simplify right side
   825,842x = 1,562,883,773,562.25
5. Step 5: Solve for x
   x = 1,562,883,773,562.25/825,842
6. Step 6: Final answer
   x = 1,892,473.10