Finding the Third Proportional to 53,696 and 116,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,696 : 116,241.50 = 116,241.50 : x
2. Step 2: Convert to fraction form
   53,696/116,241.50 = 116,241.50/x
3. Step 3: Cross multiply
   53,696x = 116,241.50 × 116,241.50
4. Step 4: Simplify right side
   53,696x = 13,512,086,322.25
5. Step 5: Solve for x
   x = 13,512,086,322.25/53,696
6. Step 6: Final answer
   x = 251,640.46