Finding the Third Proportional to 52,034 and 114,436

Step by Step Solution

1. Step 1: Write the proportion equation
   52,034 : 114,436 = 114,436 : x
2. Step 2: Convert to fraction form
   52,034/114,436 = 114,436/x
3. Step 3: Cross multiply
   52,034x = 114,436 × 114,436
4. Step 4: Simplify right side
   52,034x = 13,095,598,096
5. Step 5: Solve for x
   x = 13,095,598,096/52,034
6. Step 6: Final answer
   x = 251,673.87