Finding the Third Proportional to 81,841 and 123,869

Step by Step Solution

1. Step 1: Write the proportion equation
   81,841 : 123,869 = 123,869 : x
2. Step 2: Convert to fraction form
   81,841/123,869 = 123,869/x
3. Step 3: Cross multiply
   81,841x = 123,869 × 123,869
4. Step 4: Simplify right side
   81,841x = 15,343,529,161
5. Step 5: Solve for x
   x = 15,343,529,161/81,841
6. Step 6: Final answer
   x = 187,479.74