Finding the Third Proportional to 57,665 and 123,954

Step by Step Solution

1. Step 1: Write the proportion equation
   57,665 : 123,954 = 123,954 : x
2. Step 2: Convert to fraction form
   57,665/123,954 = 123,954/x
3. Step 3: Cross multiply
   57,665x = 123,954 × 123,954
4. Step 4: Simplify right side
   57,665x = 15,364,594,116
5. Step 5: Solve for x
   x = 15,364,594,116/57,665
6. Step 6: Final answer
   x = 266,445.75