Finding the Third Proportional to 138,624 and 300,288

Step by Step Solution

1. Step 1: Write the proportion equation
   138,624 : 300,288 = 300,288 : x
2. Step 2: Convert to fraction form
   138,624/300,288 = 300,288/x
3. Step 3: Cross multiply
   138,624x = 300,288 × 300,288
4. Step 4: Simplify right side
   138,624x = 90,172,882,944
5. Step 5: Solve for x
   x = 90,172,882,944/138,624
6. Step 6: Final answer
   x = 650,485.36