Finding the Third Proportional to 82,073 and 123,191

Step by Step Solution

1. Step 1: Write the proportion equation
   82,073 : 123,191 = 123,191 : x
2. Step 2: Convert to fraction form
   82,073/123,191 = 123,191/x
3. Step 3: Cross multiply
   82,073x = 123,191 × 123,191
4. Step 4: Simplify right side
   82,073x = 15,176,022,481
5. Step 5: Solve for x
   x = 15,176,022,481/82,073
6. Step 6: Final answer
   x = 184,908.83