Finding the Third Proportional to 53,588.50 and 116,400.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,588.50 : 116,400.50 = 116,400.50 : x
2. Step 2: Convert to fraction form
   53,588.50/116,400.50 = 116,400.50/x
3. Step 3: Cross multiply
   53,588.50x = 116,400.50 × 116,400.50
4. Step 4: Simplify right side
   53,588.50x = 13,549,076,400.25
5. Step 5: Solve for x
   x = 13,549,076,400.25/53,588.50
6. Step 6: Final answer
   x = 252,835.52