Finding the Third Proportional to 825,654 and 1,162,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   825,654 : 1,162,699.50 = 1,162,699.50 : x
2. Step 2: Convert to fraction form
   825,654/1,162,699.50 = 1,162,699.50/x
3. Step 3: Cross multiply
   825,654x = 1,162,699.50 × 1,162,699.50
4. Step 4: Simplify right side
   825,654x = 1,351,870,127,300.25
5. Step 5: Solve for x
   x = 1,351,870,127,300.25/825,654
6. Step 6: Final answer
   x = 1,637,332.50