Finding the Third Proportional to 123,624 and 264,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,624 : 264,739.50 = 264,739.50 : x
2. Step 2: Convert to fraction form
   123,624/264,739.50 = 264,739.50/x
3. Step 3: Cross multiply
   123,624x = 264,739.50 × 264,739.50
4. Step 4: Simplify right side
   123,624x = 70,087,002,860.25
5. Step 5: Solve for x
   x = 70,087,002,860.25/123,624
6. Step 6: Final answer
   x = 566,936.86