Finding the Third Proportional to 128,094 and 188,826

Step by Step Solution

1. Step 1: Write the proportion equation
   128,094 : 188,826 = 188,826 : x
2. Step 2: Convert to fraction form
   128,094/188,826 = 188,826/x
3. Step 3: Cross multiply
   128,094x = 188,826 × 188,826
4. Step 4: Simplify right side
   128,094x = 35,655,258,276
5. Step 5: Solve for x
   x = 35,655,258,276/128,094
6. Step 6: Final answer
   x = 278,352.29