Finding the Third Proportional to 53,659.50 and 116,578

Step by Step Solution

1. Step 1: Write the proportion equation
   53,659.50 : 116,578 = 116,578 : x
2. Step 2: Convert to fraction form
   53,659.50/116,578 = 116,578/x
3. Step 3: Cross multiply
   53,659.50x = 116,578 × 116,578
4. Step 4: Simplify right side
   53,659.50x = 13,590,430,084
5. Step 5: Solve for x
   x = 13,590,430,084/53,659.50
6. Step 6: Final answer
   x = 253,271.65