Finding the Third Proportional to 116,026 and 253,356

Step by Step Solution

1. Step 1: Write the proportion equation
   116,026 : 253,356 = 253,356 : x
2. Step 2: Convert to fraction form
   116,026/253,356 = 253,356/x
3. Step 3: Cross multiply
   116,026x = 253,356 × 253,356
4. Step 4: Simplify right side
   116,026x = 64,189,262,736
5. Step 5: Solve for x
   x = 64,189,262,736/116,026
6. Step 6: Final answer
   x = 553,231.71