Finding the Third Proportional to 53,411 and 116,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,411 : 116,747.50 = 116,747.50 : x
2. Step 2: Convert to fraction form
   53,411/116,747.50 = 116,747.50/x
3. Step 3: Cross multiply
   53,411x = 116,747.50 × 116,747.50
4. Step 4: Simplify right side
   53,411x = 13,629,978,756.25
5. Step 5: Solve for x
   x = 13,629,978,756.25/53,411
6. Step 6: Final answer
   x = 255,190.48