Finding the Third Proportional to 825,755 and 1,162,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   825,755 : 1,162,852.50 = 1,162,852.50 : x
2. Step 2: Convert to fraction form
   825,755/1,162,852.50 = 1,162,852.50/x
3. Step 3: Cross multiply
   825,755x = 1,162,852.50 × 1,162,852.50
4. Step 4: Simplify right side
   825,755x = 1,352,225,936,756.25
5. Step 5: Solve for x
   x = 1,352,225,936,756.25/825,755
6. Step 6: Final answer
   x = 1,637,563.12