Finding the Third Proportional to 122,206.50 and 256,095

Step by Step Solution

1. Step 1: Write the proportion equation
   122,206.50 : 256,095 = 256,095 : x
2. Step 2: Convert to fraction form
   122,206.50/256,095 = 256,095/x
3. Step 3: Cross multiply
   122,206.50x = 256,095 × 256,095
4. Step 4: Simplify right side
   122,206.50x = 65,584,649,025
5. Step 5: Solve for x
   x = 65,584,649,025/122,206.50
6. Step 6: Final answer
   x = 536,670.71