Finding the Third Proportional to 127,974 and 188,680

Step by Step Solution

1. Step 1: Write the proportion equation
   127,974 : 188,680 = 188,680 : x
2. Step 2: Convert to fraction form
   127,974/188,680 = 188,680/x
3. Step 3: Cross multiply
   127,974x = 188,680 × 188,680
4. Step 4: Simplify right side
   127,974x = 35,600,142,400
5. Step 5: Solve for x
   x = 35,600,142,400/127,974
6. Step 6: Final answer
   x = 278,182.62