Finding the Third Proportional to 300,033 and 708,256

Step by Step Solution

1. Step 1: Write the proportion equation
   300,033 : 708,256 = 708,256 : x
2. Step 2: Convert to fraction form
   300,033/708,256 = 708,256/x
3. Step 3: Cross multiply
   300,033x = 708,256 × 708,256
4. Step 4: Simplify right side
   300,033x = 501,626,561,536
5. Step 5: Solve for x
   x = 501,626,561,536/300,033
6. Step 6: Final answer
   x = 1,671,904.63