Finding the Third Proportional to 192,834 and 415,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   192,834 : 415,264.50 = 415,264.50 : x
2. Step 2: Convert to fraction form
   192,834/415,264.50 = 415,264.50/x
3. Step 3: Cross multiply
   192,834x = 415,264.50 × 415,264.50
4. Step 4: Simplify right side
   192,834x = 172,444,604,960.25
5. Step 5: Solve for x
   x = 172,444,604,960.25/192,834
6. Step 6: Final answer
   x = 894,264.52