Finding the Third Proportional to 125,271 and 193,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,271 : 193,738.50 = 193,738.50 : x
2. Step 2: Convert to fraction form
   125,271/193,738.50 = 193,738.50/x
3. Step 3: Cross multiply
   125,271x = 193,738.50 × 193,738.50
4. Step 4: Simplify right side
   125,271x = 37,534,606,382.25
5. Step 5: Solve for x
   x = 37,534,606,382.25/125,271
6. Step 6: Final answer
   x = 299,627.26