Finding the Third Proportional to 192,867 and 289,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   192,867 : 289,111.50 = 289,111.50 : x
2. Step 2: Convert to fraction form
   192,867/289,111.50 = 289,111.50/x
3. Step 3: Cross multiply
   192,867x = 289,111.50 × 289,111.50
4. Step 4: Simplify right side
   192,867x = 83,585,459,432.25
5. Step 5: Solve for x
   x = 83,585,459,432.25/192,867
6. Step 6: Final answer
   x = 433,383.94