Finding the Third Proportional to 82,026 and 123,858

Step by Step Solution

1. Step 1: Write the proportion equation
   82,026 : 123,858 = 123,858 : x
2. Step 2: Convert to fraction form
   82,026/123,858 = 123,858/x
3. Step 3: Cross multiply
   82,026x = 123,858 × 123,858
4. Step 4: Simplify right side
   82,026x = 15,340,804,164
5. Step 5: Solve for x
   x = 15,340,804,164/82,026
6. Step 6: Final answer
   x = 187,023.68