Finding the Third Proportional to 52,682 and 116,038

Step by Step Solution

1. Step 1: Write the proportion equation
   52,682 : 116,038 = 116,038 : x
2. Step 2: Convert to fraction form
   52,682/116,038 = 116,038/x
3. Step 3: Cross multiply
   52,682x = 116,038 × 116,038
4. Step 4: Simplify right side
   52,682x = 13,464,817,444
5. Step 5: Solve for x
   x = 13,464,817,444/52,682
6. Step 6: Final answer
   x = 255,586.68