Finding the Third Proportional to 112,192 and 172,128

Step by Step Solution

1. Step 1: Write the proportion equation
   112,192 : 172,128 = 172,128 : x
2. Step 2: Convert to fraction form
   112,192/172,128 = 172,128/x
3. Step 3: Cross multiply
   112,192x = 172,128 × 172,128
4. Step 4: Simplify right side
   112,192x = 29,628,048,384
5. Step 5: Solve for x
   x = 29,628,048,384/112,192
6. Step 6: Final answer
   x = 264,083.43