Finding the Third Proportional to 123,200 and 264,805

Step by Step Solution

1. Step 1: Write the proportion equation
   123,200 : 264,805 = 264,805 : x
2. Step 2: Convert to fraction form
   123,200/264,805 = 264,805/x
3. Step 3: Cross multiply
   123,200x = 264,805 × 264,805
4. Step 4: Simplify right side
   123,200x = 70,121,688,025
5. Step 5: Solve for x
   x = 70,121,688,025/123,200
6. Step 6: Final answer
   x = 569,169.55