Finding the Third Proportional to 300,144 and 708,507

Step by Step Solution

1. Step 1: Write the proportion equation
   300,144 : 708,507 = 708,507 : x
2. Step 2: Convert to fraction form
   300,144/708,507 = 708,507/x
3. Step 3: Cross multiply
   300,144x = 708,507 × 708,507
4. Step 4: Simplify right side
   300,144x = 501,982,169,049
5. Step 5: Solve for x
   x = 501,982,169,049/300,144
6. Step 6: Final answer
   x = 1,672,471.11