Finding the Third Proportional to 825,580 and 1,686,146

Step by Step Solution

1. Step 1: Write the proportion equation
   825,580 : 1,686,146 = 1,686,146 : x
2. Step 2: Convert to fraction form
   825,580/1,686,146 = 1,686,146/x
3. Step 3: Cross multiply
   825,580x = 1,686,146 × 1,686,146
4. Step 4: Simplify right side
   825,580x = 2,843,088,333,316
5. Step 5: Solve for x
   x = 2,843,088,333,316/825,580
6. Step 6: Final answer
   x = 3,443,746.62