Finding the Third Proportional to 53,620 and 116,456

Step by Step Solution

1. Step 1: Write the proportion equation
   53,620 : 116,456 = 116,456 : x
2. Step 2: Convert to fraction form
   53,620/116,456 = 116,456/x
3. Step 3: Cross multiply
   53,620x = 116,456 × 116,456
4. Step 4: Simplify right side
   53,620x = 13,561,999,936
5. Step 5: Solve for x
   x = 13,561,999,936/53,620
6. Step 6: Final answer
   x = 252,928.01