Finding the Third Proportional to 114,333 and 254,892

Step by Step Solution

1. Step 1: Write the proportion equation
   114,333 : 254,892 = 254,892 : x
2. Step 2: Convert to fraction form
   114,333/254,892 = 254,892/x
3. Step 3: Cross multiply
   114,333x = 254,892 × 254,892
4. Step 4: Simplify right side
   114,333x = 64,969,931,664
5. Step 5: Solve for x
   x = 64,969,931,664/114,333
6. Step 6: Final answer
   x = 568,251.79