Finding the Third Proportional to 300,739 and 626,359

Step by Step Solution

1. Step 1: Write the proportion equation
   300,739 : 626,359 = 626,359 : x
2. Step 2: Convert to fraction form
   300,739/626,359 = 626,359/x
3. Step 3: Cross multiply
   300,739x = 626,359 × 626,359
4. Step 4: Simplify right side
   300,739x = 392,325,596,881
5. Step 5: Solve for x
   x = 392,325,596,881/300,739
6. Step 6: Final answer
   x = 1,304,538.48