Finding the Third Proportional to 89,972 and 193,768

Step by Step Solution

1. Step 1: Write the proportion equation
   89,972 : 193,768 = 193,768 : x
2. Step 2: Convert to fraction form
   89,972/193,768 = 193,768/x
3. Step 3: Cross multiply
   89,972x = 193,768 × 193,768
4. Step 4: Simplify right side
   89,972x = 37,546,037,824
5. Step 5: Solve for x
   x = 37,546,037,824/89,972
6. Step 6: Final answer
   x = 417,308.03