Finding the Third Proportional to 89,968 and 193,760

Step by Step Solution

1. Step 1: Write the proportion equation
   89,968 : 193,760 = 193,760 : x
2. Step 2: Convert to fraction form
   89,968/193,760 = 193,760/x
3. Step 3: Cross multiply
   89,968x = 193,760 × 193,760
4. Step 4: Simplify right side
   89,968x = 37,542,937,600
5. Step 5: Solve for x
   x = 37,542,937,600/89,968
6. Step 6: Final answer
   x = 417,292.12