Finding the Third Proportional to 83,536 and 173,984

Step by Step Solution

1. Step 1: Write the proportion equation
   83,536 : 173,984 = 173,984 : x
2. Step 2: Convert to fraction form
   83,536/173,984 = 173,984/x
3. Step 3: Cross multiply
   83,536x = 173,984 × 173,984
4. Step 4: Simplify right side
   83,536x = 30,270,432,256
5. Step 5: Solve for x
   x = 30,270,432,256/83,536
6. Step 6: Final answer
   x = 362,363.92