Finding the Third Proportional to 83,538 and 173,988

Step by Step Solution

1. Step 1: Write the proportion equation
   83,538 : 173,988 = 173,988 : x
2. Step 2: Convert to fraction form
   83,538/173,988 = 173,988/x
3. Step 3: Cross multiply
   83,538x = 173,988 × 173,988
4. Step 4: Simplify right side
   83,538x = 30,271,824,144
5. Step 5: Solve for x
   x = 30,271,824,144/83,538
6. Step 6: Final answer
   x = 362,371.90