Finding the Third Proportional to 53,658.50 and 116,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,658.50 : 116,656.50 = 116,656.50 : x
2. Step 2: Convert to fraction form
   53,658.50/116,656.50 = 116,656.50/x
3. Step 3: Cross multiply
   53,658.50x = 116,656.50 × 116,656.50
4. Step 4: Simplify right side
   53,658.50x = 13,608,738,992.25
5. Step 5: Solve for x
   x = 13,608,738,992.25/53,658.50
6. Step 6: Final answer
   x = 253,617.58