Finding the Third Proportional to 121,722 and 262,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,722 : 262,168.50 = 262,168.50 : x
2. Step 2: Convert to fraction form
   121,722/262,168.50 = 262,168.50/x
3. Step 3: Cross multiply
   121,722x = 262,168.50 × 262,168.50
4. Step 4: Simplify right side
   121,722x = 68,732,322,392.25
5. Step 5: Solve for x
   x = 68,732,322,392.25/121,722
6. Step 6: Final answer
   x = 564,666.39