Finding the Third Proportional to 100,448 and 146,826

Step by Step Solution

1. Step 1: Write the proportion equation
   100,448 : 146,826 = 146,826 : x
2. Step 2: Convert to fraction form
   100,448/146,826 = 146,826/x
3. Step 3: Cross multiply
   100,448x = 146,826 × 146,826
4. Step 4: Simplify right side
   100,448x = 21,557,874,276
5. Step 5: Solve for x
   x = 21,557,874,276/100,448
6. Step 6: Final answer
   x = 214,617.26