Finding the Third Proportional to 127,174 and 188,601

Step by Step Solution

1. Step 1: Write the proportion equation
   127,174 : 188,601 = 188,601 : x
2. Step 2: Convert to fraction form
   127,174/188,601 = 188,601/x
3. Step 3: Cross multiply
   127,174x = 188,601 × 188,601
4. Step 4: Simplify right side
   127,174x = 35,570,337,201
5. Step 5: Solve for x
   x = 35,570,337,201/127,174
6. Step 6: Final answer
   x = 279,698.19