Finding the Third Proportional to 122,555 and 256,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,555 : 256,333.50 = 256,333.50 : x
2. Step 2: Convert to fraction form
   122,555/256,333.50 = 256,333.50/x
3. Step 3: Cross multiply
   122,555x = 256,333.50 × 256,333.50
4. Step 4: Simplify right side
   122,555x = 65,706,863,222.25
5. Step 5: Solve for x
   x = 65,706,863,222.25/122,555
6. Step 6: Final answer
   x = 536,141.84