Finding the Third Proportional to 127,128 and 188,520

Step by Step Solution

1. Step 1: Write the proportion equation
   127,128 : 188,520 = 188,520 : x
2. Step 2: Convert to fraction form
   127,128/188,520 = 188,520/x
3. Step 3: Cross multiply
   127,128x = 188,520 × 188,520
4. Step 4: Simplify right side
   127,128x = 35,539,790,400
5. Step 5: Solve for x
   x = 35,539,790,400/127,128
6. Step 6: Final answer
   x = 279,559.11