Finding the Third Proportional to 52,928 and 114,166

Step by Step Solution

1. Step 1: Write the proportion equation
   52,928 : 114,166 = 114,166 : x
2. Step 2: Convert to fraction form
   52,928/114,166 = 114,166/x
3. Step 3: Cross multiply
   52,928x = 114,166 × 114,166
4. Step 4: Simplify right side
   52,928x = 13,033,875,556
5. Step 5: Solve for x
   x = 13,033,875,556/52,928
6. Step 6: Final answer
   x = 246,256.72