Finding the Third Proportional to 52,205 and 113,821

Step by Step Solution

1. Step 1: Write the proportion equation
   52,205 : 113,821 = 113,821 : x
2. Step 2: Convert to fraction form
   52,205/113,821 = 113,821/x
3. Step 3: Cross multiply
   52,205x = 113,821 × 113,821
4. Step 4: Simplify right side
   52,205x = 12,955,220,041
5. Step 5: Solve for x
   x = 12,955,220,041/52,205
6. Step 6: Final answer
   x = 248,160.52