Finding the Third Proportional to 53,584.50 and 116,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,584.50 : 116,524.50 = 116,524.50 : x
2. Step 2: Convert to fraction form
   53,584.50/116,524.50 = 116,524.50/x
3. Step 3: Cross multiply
   53,584.50x = 116,524.50 × 116,524.50
4. Step 4: Simplify right side
   53,584.50x = 13,577,959,100.25
5. Step 5: Solve for x
   x = 13,577,959,100.25/53,584.50
6. Step 6: Final answer
   x = 253,393.41