Finding the Third Proportional to 127,984 and 188,692

Step by Step Solution

1. Step 1: Write the proportion equation
   127,984 : 188,692 = 188,692 : x
2. Step 2: Convert to fraction form
   127,984/188,692 = 188,692/x
3. Step 3: Cross multiply
   127,984x = 188,692 × 188,692
4. Step 4: Simplify right side
   127,984x = 35,604,670,864
5. Step 5: Solve for x
   x = 35,604,670,864/127,984
6. Step 6: Final answer
   x = 278,196.27