Finding the Third Proportional to 89,040 and 193,536

Step by Step Solution

1. Step 1: Write the proportion equation
   89,040 : 193,536 = 193,536 : x
2. Step 2: Convert to fraction form
   89,040/193,536 = 193,536/x
3. Step 3: Cross multiply
   89,040x = 193,536 × 193,536
4. Step 4: Simplify right side
   89,040x = 37,456,183,296
5. Step 5: Solve for x
   x = 37,456,183,296/89,040
6. Step 6: Final answer
   x = 420,666.93