Finding the Third Proportional to 300,642 and 626,161

Step by Step Solution

1. Step 1: Write the proportion equation
   300,642 : 626,161 = 626,161 : x
2. Step 2: Convert to fraction form
   300,642/626,161 = 626,161/x
3. Step 3: Cross multiply
   300,642x = 626,161 × 626,161
4. Step 4: Simplify right side
   300,642x = 392,077,597,921
5. Step 5: Solve for x
   x = 392,077,597,921/300,642
6. Step 6: Final answer
   x = 1,304,134.48