Finding the Third Proportional to 127,978.50 and 188,688

Step by Step Solution

1. Step 1: Write the proportion equation
   127,978.50 : 188,688 = 188,688 : x
2. Step 2: Convert to fraction form
   127,978.50/188,688 = 188,688/x
3. Step 3: Cross multiply
   127,978.50x = 188,688 × 188,688
4. Step 4: Simplify right side
   127,978.50x = 35,603,161,344
5. Step 5: Solve for x
   x = 35,603,161,344/127,978.50
6. Step 6: Final answer
   x = 278,196.43