Finding the Third Proportional to 81,910 and 123,441

Step by Step Solution

1. Step 1: Write the proportion equation
   81,910 : 123,441 = 123,441 : x
2. Step 2: Convert to fraction form
   81,910/123,441 = 123,441/x
3. Step 3: Cross multiply
   81,910x = 123,441 × 123,441
4. Step 4: Simplify right side
   81,910x = 15,237,680,481
5. Step 5: Solve for x
   x = 15,237,680,481/81,910
6. Step 6: Final answer
   x = 186,029.55