Finding the Third Proportional to 122,856.75 and 185,150.25

Step by Step Solution

1. Step 1: Write the proportion equation
   122,856.75 : 185,150.25 = 185,150.25 : x
2. Step 2: Convert to fraction form
   122,856.75/185,150.25 = 185,150.25/x
3. Step 3: Cross multiply
   122,856.75x = 185,150.25 × 185,150.25
4. Step 4: Simplify right side
   122,856.75x = 34,280,615,075.06
5. Step 5: Solve for x
   x = 34,280,615,075.06/122,856.75
6. Step 6: Final answer
   x = 279,029.15