Finding the Third Proportional to 82,361 and 123,172

Step by Step Solution

1. Step 1: Write the proportion equation
   82,361 : 123,172 = 123,172 : x
2. Step 2: Convert to fraction form
   82,361/123,172 = 123,172/x
3. Step 3: Cross multiply
   82,361x = 123,172 × 123,172
4. Step 4: Simplify right side
   82,361x = 15,171,341,584
5. Step 5: Solve for x
   x = 15,171,341,584/82,361
6. Step 6: Final answer
   x = 184,205.41