Finding the Third Proportional to 53,648 and 116,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,648 : 116,255.50 = 116,255.50 : x
2. Step 2: Convert to fraction form
   53,648/116,255.50 = 116,255.50/x
3. Step 3: Cross multiply
   53,648x = 116,255.50 × 116,255.50
4. Step 4: Simplify right side
   53,648x = 13,515,341,280.25
5. Step 5: Solve for x
   x = 13,515,341,280.25/53,648
6. Step 6: Final answer
   x = 251,926.28