Finding the Third Proportional to 123,367 and 264,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,367 : 264,216.50 = 264,216.50 : x
2. Step 2: Convert to fraction form
   123,367/264,216.50 = 264,216.50/x
3. Step 3: Cross multiply
   123,367x = 264,216.50 × 264,216.50
4. Step 4: Simplify right side
   123,367x = 69,810,358,872.25
5. Step 5: Solve for x
   x = 69,810,358,872.25/123,367
6. Step 6: Final answer
   x = 565,875.47