Finding the Third Proportional to 81,109 and 189,442

Step by Step Solution

1. Step 1: Write the proportion equation
   81,109 : 189,442 = 189,442 : x
2. Step 2: Convert to fraction form
   81,109/189,442 = 189,442/x
3. Step 3: Cross multiply
   81,109x = 189,442 × 189,442
4. Step 4: Simplify right side
   81,109x = 35,888,271,364
5. Step 5: Solve for x
   x = 35,888,271,364/81,109
6. Step 6: Final answer
   x = 442,469.66