Finding the Third Proportional to 57,361 and 123,511

Step by Step Solution

1. Step 1: Write the proportion equation
   57,361 : 123,511 = 123,511 : x
2. Step 2: Convert to fraction form
   57,361/123,511 = 123,511/x
3. Step 3: Cross multiply
   57,361x = 123,511 × 123,511
4. Step 4: Simplify right side
   57,361x = 15,254,967,121
5. Step 5: Solve for x
   x = 15,254,967,121/57,361
6. Step 6: Final answer
   x = 265,946.67