Finding the Third Proportional to 125,265 and 193,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,265 : 193,993.50 = 193,993.50 : x
2. Step 2: Convert to fraction form
   125,265/193,993.50 = 193,993.50/x
3. Step 3: Cross multiply
   125,265x = 193,993.50 × 193,993.50
4. Step 4: Simplify right side
   125,265x = 37,633,478,042.25
5. Step 5: Solve for x
   x = 37,633,478,042.25/125,265
6. Step 6: Final answer
   x = 300,430.91