Finding the Third Proportional to 122,823 and 260,406.56

Step by Step Solution

1. Step 1: Write the proportion equation
   122,823 : 260,406.56 = 260,406.56 : x
2. Step 2: Convert to fraction form
   122,823/260,406.56 = 260,406.56/x
3. Step 3: Cross multiply
   122,823x = 260,406.56 × 260,406.56
4. Step 4: Simplify right side
   122,823x = 67,811,577,793.07
5. Step 5: Solve for x
   x = 67,811,577,793.07/122,823
6. Step 6: Final answer
   x = 552,108.14