Finding the Third Proportional to 83,792.25 and 197,625.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,792.25 : 197,625.38 = 197,625.38 : x
2. Step 2: Convert to fraction form
   83,792.25/197,625.38 = 197,625.38/x
3. Step 3: Cross multiply
   83,792.25x = 197,625.38 × 197,625.38
4. Step 4: Simplify right side
   83,792.25x = 39,055,788,843.89
5. Step 5: Solve for x
   x = 39,055,788,843.89/83,792.25
6. Step 6: Final answer
   x = 466,102.64