Finding the Third Proportional to 114,735 and 253,254

Step by Step Solution

1. Step 1: Write the proportion equation
   114,735 : 253,254 = 253,254 : x
2. Step 2: Convert to fraction form
   114,735/253,254 = 253,254/x
3. Step 3: Cross multiply
   114,735x = 253,254 × 253,254
4. Step 4: Simplify right side
   114,735x = 64,137,588,516
5. Step 5: Solve for x
   x = 64,137,588,516/114,735
6. Step 6: Final answer
   x = 559,006.31