Finding the Third Proportional to 52,356 and 116,328

Step by Step Solution

1. Step 1: Write the proportion equation
   52,356 : 116,328 = 116,328 : x
2. Step 2: Convert to fraction form
   52,356/116,328 = 116,328/x
3. Step 3: Cross multiply
   52,356x = 116,328 × 116,328
4. Step 4: Simplify right side
   52,356x = 13,532,203,584
5. Step 5: Solve for x
   x = 13,532,203,584/52,356
6. Step 6: Final answer
   x = 258,465.19