Finding the Third Proportional to 81,722 and 123,276

Step by Step Solution

1. Step 1: Write the proportion equation
   81,722 : 123,276 = 123,276 : x
2. Step 2: Convert to fraction form
   81,722/123,276 = 123,276/x
3. Step 3: Cross multiply
   81,722x = 123,276 × 123,276
4. Step 4: Simplify right side
   81,722x = 15,196,972,176
5. Step 5: Solve for x
   x = 15,196,972,176/81,722
6. Step 6: Final answer
   x = 185,959.38