Finding the Third Proportional to 116,965 and 253,802

Step by Step Solution

1. Step 1: Write the proportion equation
   116,965 : 253,802 = 253,802 : x
2. Step 2: Convert to fraction form
   116,965/253,802 = 253,802/x
3. Step 3: Cross multiply
   116,965x = 253,802 × 253,802
4. Step 4: Simplify right side
   116,965x = 64,415,455,204
5. Step 5: Solve for x
   x = 64,415,455,204/116,965
6. Step 6: Final answer
   x = 550,724.19