Finding the Third Proportional to 123,382 and 264,284

Step by Step Solution

1. Step 1: Write the proportion equation
   123,382 : 264,284 = 264,284 : x
2. Step 2: Convert to fraction form
   123,382/264,284 = 264,284/x
3. Step 3: Cross multiply
   123,382x = 264,284 × 264,284
4. Step 4: Simplify right side
   123,382x = 69,846,032,656
5. Step 5: Solve for x
   x = 69,846,032,656/123,382
6. Step 6: Final answer
   x = 566,095.81