Finding the Third Proportional to 116,361 and 253,458

Step by Step Solution

1. Step 1: Write the proportion equation
   116,361 : 253,458 = 253,458 : x
2. Step 2: Convert to fraction form
   116,361/253,458 = 253,458/x
3. Step 3: Cross multiply
   116,361x = 253,458 × 253,458
4. Step 4: Simplify right side
   116,361x = 64,240,957,764
5. Step 5: Solve for x
   x = 64,240,957,764/116,361
6. Step 6: Final answer
   x = 552,083.24