Finding the Third Proportional to 57,692 and 123,688

Step by Step Solution

1. Step 1: Write the proportion equation
   57,692 : 123,688 = 123,688 : x
2. Step 2: Convert to fraction form
   57,692/123,688 = 123,688/x
3. Step 3: Cross multiply
   57,692x = 123,688 × 123,688
4. Step 4: Simplify right side
   57,692x = 15,298,721,344
5. Step 5: Solve for x
   x = 15,298,721,344/57,692
6. Step 6: Final answer
   x = 265,179.25