Finding the Third Proportional to 125,976 and 192,625.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,976 : 192,625.50 = 192,625.50 : x
2. Step 2: Convert to fraction form
   125,976/192,625.50 = 192,625.50/x
3. Step 3: Cross multiply
   125,976x = 192,625.50 × 192,625.50
4. Step 4: Simplify right side
   125,976x = 37,104,583,250.25
5. Step 5: Solve for x
   x = 37,104,583,250.25/125,976
6. Step 6: Final answer
   x = 294,536.92