Finding the Third Proportional to 125,856 and 192,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,856 : 192,064.50 = 192,064.50 : x
2. Step 2: Convert to fraction form
   125,856/192,064.50 = 192,064.50/x
3. Step 3: Cross multiply
   125,856x = 192,064.50 × 192,064.50
4. Step 4: Simplify right side
   125,856x = 36,888,772,160.25
5. Step 5: Solve for x
   x = 36,888,772,160.25/125,856
6. Step 6: Final answer
   x = 293,103.01