Finding the Third Proportional to 52,304 and 114,328

Step by Step Solution

1. Step 1: Write the proportion equation
   52,304 : 114,328 = 114,328 : x
2. Step 2: Convert to fraction form
   52,304/114,328 = 114,328/x
3. Step 3: Cross multiply
   52,304x = 114,328 × 114,328
4. Step 4: Simplify right side
   52,304x = 13,070,891,584
5. Step 5: Solve for x
   x = 13,070,891,584/52,304
6. Step 6: Final answer
   x = 249,902.33