Finding the Third Proportional to 52,264 and 114,328

Step by Step Solution

1. Step 1: Write the proportion equation
   52,264 : 114,328 = 114,328 : x
2. Step 2: Convert to fraction form
   52,264/114,328 = 114,328/x
3. Step 3: Cross multiply
   52,264x = 114,328 × 114,328
4. Step 4: Simplify right side
   52,264x = 13,070,891,584
5. Step 5: Solve for x
   x = 13,070,891,584/52,264
6. Step 6: Final answer
   x = 250,093.59