Finding the Third Proportional to 89,592 and 193,008

Step by Step Solution

1. Step 1: Write the proportion equation
   89,592 : 193,008 = 193,008 : x
2. Step 2: Convert to fraction form
   89,592/193,008 = 193,008/x
3. Step 3: Cross multiply
   89,592x = 193,008 × 193,008
4. Step 4: Simplify right side
   89,592x = 37,252,088,064
5. Step 5: Solve for x
   x = 37,252,088,064/89,592
6. Step 6: Final answer
   x = 415,797.04