Finding the Third Proportional to 85,601 and 123,302

Step by Step Solution

1. Step 1: Write the proportion equation
   85,601 : 123,302 = 123,302 : x
2. Step 2: Convert to fraction form
   85,601/123,302 = 123,302/x
3. Step 3: Cross multiply
   85,601x = 123,302 × 123,302
4. Step 4: Simplify right side
   85,601x = 15,203,383,204
5. Step 5: Solve for x
   x = 15,203,383,204/85,601
6. Step 6: Final answer
   x = 177,607.54