Finding the Third Proportional to 192,798 and 300,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   192,798 : 300,178.50 = 300,178.50 : x
2. Step 2: Convert to fraction form
   192,798/300,178.50 = 300,178.50/x
3. Step 3: Cross multiply
   192,798x = 300,178.50 × 300,178.50
4. Step 4: Simplify right side
   192,798x = 90,107,131,862.25
5. Step 5: Solve for x
   x = 90,107,131,862.25/192,798
6. Step 6: Final answer
   x = 467,365.49