Finding the Third Proportional to 125,667.75 and 260,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,667.75 : 260,083.50 = 260,083.50 : x
2. Step 2: Convert to fraction form
   125,667.75/260,083.50 = 260,083.50/x
3. Step 3: Cross multiply
   125,667.75x = 260,083.50 × 260,083.50
4. Step 4: Simplify right side
   125,667.75x = 67,643,426,972.25
5. Step 5: Solve for x
   x = 67,643,426,972.25/125,667.75
6. Step 6: Final answer
   x = 538,271.97