Finding the Third Proportional to 192,819 and 415,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   192,819 : 415,243.50 = 415,243.50 : x
2. Step 2: Convert to fraction form
   192,819/415,243.50 = 415,243.50/x
3. Step 3: Cross multiply
   192,819x = 415,243.50 × 415,243.50
4. Step 4: Simplify right side
   192,819x = 172,427,164,292.25
5. Step 5: Solve for x
   x = 172,427,164,292.25/192,819
6. Step 6: Final answer
   x = 894,243.64