Finding the Third Proportional to 685,404 and 1,475,832

Step by Step Solution

1. Step 1: Write the proportion equation
   685,404 : 1,475,832 = 1,475,832 : x
2. Step 2: Convert to fraction form
   685,404/1,475,832 = 1,475,832/x
3. Step 3: Cross multiply
   685,404x = 1,475,832 × 1,475,832
4. Step 4: Simplify right side
   685,404x = 2,178,080,092,224
5. Step 5: Solve for x
   x = 2,178,080,092,224/685,404
6. Step 6: Final answer
   x = 3,177,804.76