Finding the Third Proportional to 81,905 and 123,434

Step by Step Solution

1. Step 1: Write the proportion equation
   81,905 : 123,434 = 123,434 : x
2. Step 2: Convert to fraction form
   81,905/123,434 = 123,434/x
3. Step 3: Cross multiply
   81,905x = 123,434 × 123,434
4. Step 4: Simplify right side
   81,905x = 15,235,952,356
5. Step 5: Solve for x
   x = 15,235,952,356/81,905
6. Step 6: Final answer
   x = 186,019.81