Finding the Third Proportional to 56,106 and 122,771.25

Step by Step Solution

1. Step 1: Write the proportion equation
   56,106 : 122,771.25 = 122,771.25 : x
2. Step 2: Convert to fraction form
   56,106/122,771.25 = 122,771.25/x
3. Step 3: Cross multiply
   56,106x = 122,771.25 × 122,771.25
4. Step 4: Simplify right side
   56,106x = 15,072,779,826.56
5. Step 5: Solve for x
   x = 15,072,779,826.56/56,106
6. Step 6: Final answer
   x = 268,648.27