Finding the Third Proportional to 89,991 and 193,833

Step by Step Solution

1. Step 1: Write the proportion equation
   89,991 : 193,833 = 193,833 : x
2. Step 2: Convert to fraction form
   89,991/193,833 = 193,833/x
3. Step 3: Cross multiply
   89,991x = 193,833 × 193,833
4. Step 4: Simplify right side
   89,991x = 37,571,231,889
5. Step 5: Solve for x
   x = 37,571,231,889/89,991
6. Step 6: Final answer
   x = 417,499.88