Finding the Third Proportional to 52,058 and 114,052

Step by Step Solution

1. Step 1: Write the proportion equation
   52,058 : 114,052 = 114,052 : x
2. Step 2: Convert to fraction form
   52,058/114,052 = 114,052/x
3. Step 3: Cross multiply
   52,058x = 114,052 × 114,052
4. Step 4: Simplify right side
   52,058x = 13,007,858,704
5. Step 5: Solve for x
   x = 13,007,858,704/52,058
6. Step 6: Final answer
   x = 249,872.43