Finding the Third Proportional to 53,116 and 113,338

Step by Step Solution

1. Step 1: Write the proportion equation
   53,116 : 113,338 = 113,338 : x
2. Step 2: Convert to fraction form
   53,116/113,338 = 113,338/x
3. Step 3: Cross multiply
   53,116x = 113,338 × 113,338
4. Step 4: Simplify right side
   53,116x = 12,845,502,244
5. Step 5: Solve for x
   x = 12,845,502,244/53,116
6. Step 6: Final answer
   x = 241,838.66