Finding the Third Proportional to 52,678 and 116,030

Step by Step Solution

1. Step 1: Write the proportion equation
   52,678 : 116,030 = 116,030 : x
2. Step 2: Convert to fraction form
   52,678/116,030 = 116,030/x
3. Step 3: Cross multiply
   52,678x = 116,030 × 116,030
4. Step 4: Simplify right side
   52,678x = 13,462,960,900
5. Step 5: Solve for x
   x = 13,462,960,900/52,678
6. Step 6: Final answer
   x = 255,570.84