Finding the Third Proportional to 123,576 and 288,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,576 : 288,022.50 = 288,022.50 : x
2. Step 2: Convert to fraction form
   123,576/288,022.50 = 288,022.50/x
3. Step 3: Cross multiply
   123,576x = 288,022.50 × 288,022.50
4. Step 4: Simplify right side
   123,576x = 82,956,960,506.25
5. Step 5: Solve for x
   x = 82,956,960,506.25/123,576
6. Step 6: Final answer
   x = 671,303.17