Finding the Third Proportional to 52,155 and 113,706

Step by Step Solution

1. Step 1: Write the proportion equation
   52,155 : 113,706 = 113,706 : x
2. Step 2: Convert to fraction form
   52,155/113,706 = 113,706/x
3. Step 3: Cross multiply
   52,155x = 113,706 × 113,706
4. Step 4: Simplify right side
   52,155x = 12,929,054,436
5. Step 5: Solve for x
   x = 12,929,054,436/52,155
6. Step 6: Final answer
   x = 247,896.74