Finding the Third Proportional to 85,841 and 123,840

Step by Step Solution

1. Step 1: Write the proportion equation
   85,841 : 123,840 = 123,840 : x
2. Step 2: Convert to fraction form
   85,841/123,840 = 123,840/x
3. Step 3: Cross multiply
   85,841x = 123,840 × 123,840
4. Step 4: Simplify right side
   85,841x = 15,336,345,600
5. Step 5: Solve for x
   x = 15,336,345,600/85,841
6. Step 6: Final answer
   x = 178,659.91