Finding the Third Proportional to 59,097 and 127,667

Step by Step Solution

1. Step 1: Write the proportion equation
   59,097 : 127,667 = 127,667 : x
2. Step 2: Convert to fraction form
   59,097/127,667 = 127,667/x
3. Step 3: Cross multiply
   59,097x = 127,667 × 127,667
4. Step 4: Simplify right side
   59,097x = 16,298,862,889
5. Step 5: Solve for x
   x = 16,298,862,889/59,097
6. Step 6: Final answer
   x = 275,798.48