Finding the Third Proportional to 53,884 and 116,984

Step by Step Solution

1. Step 1: Write the proportion equation
   53,884 : 116,984 = 116,984 : x
2. Step 2: Convert to fraction form
   53,884/116,984 = 116,984/x
3. Step 3: Cross multiply
   53,884x = 116,984 × 116,984
4. Step 4: Simplify right side
   53,884x = 13,685,256,256
5. Step 5: Solve for x
   x = 13,685,256,256/53,884
6. Step 6: Final answer
   x = 253,976.25