Finding the Third Proportional to 52,353 and 114,678

Step by Step Solution

1. Step 1: Write the proportion equation
   52,353 : 114,678 = 114,678 : x
2. Step 2: Convert to fraction form
   52,353/114,678 = 114,678/x
3. Step 3: Cross multiply
   52,353x = 114,678 × 114,678
4. Step 4: Simplify right side
   52,353x = 13,151,043,684
5. Step 5: Solve for x
   x = 13,151,043,684/52,353
6. Step 6: Final answer
   x = 251,199.43