Finding the Third Proportional to 53,824 and 117,632

Step by Step Solution

1. Step 1: Write the proportion equation
   53,824 : 117,632 = 117,632 : x
2. Step 2: Convert to fraction form
   53,824/117,632 = 117,632/x
3. Step 3: Cross multiply
   53,824x = 117,632 × 117,632
4. Step 4: Simplify right side
   53,824x = 13,837,287,424
5. Step 5: Solve for x
   x = 13,837,287,424/53,824
6. Step 6: Final answer
   x = 257,083.97