Finding the Third Proportional to 125,198 and 265,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,198 : 265,293.50 = 265,293.50 : x
2. Step 2: Convert to fraction form
   125,198/265,293.50 = 265,293.50/x
3. Step 3: Cross multiply
   125,198x = 265,293.50 × 265,293.50
4. Step 4: Simplify right side
   125,198x = 70,380,641,142.25
5. Step 5: Solve for x
   x = 70,380,641,142.25/125,198
6. Step 6: Final answer
   x = 562,154.68