Finding the Third Proportional to 123,688 and 264,868

Step by Step Solution

1. Step 1: Write the proportion equation
   123,688 : 264,868 = 264,868 : x
2. Step 2: Convert to fraction form
   123,688/264,868 = 264,868/x
3. Step 3: Cross multiply
   123,688x = 264,868 × 264,868
4. Step 4: Simplify right side
   123,688x = 70,155,057,424
5. Step 5: Solve for x
   x = 70,155,057,424/123,688
6. Step 6: Final answer
   x = 567,193.72