Finding the Third Proportional to 192,810 and 415,224.75

Step by Step Solution

1. Step 1: Write the proportion equation
   192,810 : 415,224.75 = 415,224.75 : x
2. Step 2: Convert to fraction form
   192,810/415,224.75 = 415,224.75/x
3. Step 3: Cross multiply
   192,810x = 415,224.75 × 415,224.75
4. Step 4: Simplify right side
   192,810x = 172,411,593,012.56
5. Step 5: Solve for x
   x = 172,411,593,012.56/192,810
6. Step 6: Final answer
   x = 894,204.62