Finding the Third Proportional to 89,600 and 133,536

Step by Step Solution

1. Step 1: Write the proportion equation
   89,600 : 133,536 = 133,536 : x
2. Step 2: Convert to fraction form
   89,600/133,536 = 133,536/x
3. Step 3: Cross multiply
   89,600x = 133,536 × 133,536
4. Step 4: Simplify right side
   89,600x = 17,831,863,296
5. Step 5: Solve for x
   x = 17,831,863,296/89,600
6. Step 6: Final answer
   x = 199,016.33