Finding the Third Proportional to 81,906 and 123,436

Step by Step Solution

1. Step 1: Write the proportion equation
   81,906 : 123,436 = 123,436 : x
2. Step 2: Convert to fraction form
   81,906/123,436 = 123,436/x
3. Step 3: Cross multiply
   81,906x = 123,436 × 123,436
4. Step 4: Simplify right side
   81,906x = 15,236,446,096
5. Step 5: Solve for x
   x = 15,236,446,096/81,906
6. Step 6: Final answer
   x = 186,023.56