Finding the Third Proportional to 116,533 and 253,824

Step by Step Solution

1. Step 1: Write the proportion equation
   116,533 : 253,824 = 253,824 : x
2. Step 2: Convert to fraction form
   116,533/253,824 = 253,824/x
3. Step 3: Cross multiply
   116,533x = 253,824 × 253,824
4. Step 4: Simplify right side
   116,533x = 64,426,622,976
5. Step 5: Solve for x
   x = 64,426,622,976/116,533
6. Step 6: Final answer
   x = 552,861.62