Finding the Third Proportional to 53,323.25 and 116,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,323.25 : 116,690.50 = 116,690.50 : x
2. Step 2: Convert to fraction form
   53,323.25/116,690.50 = 116,690.50/x
3. Step 3: Cross multiply
   53,323.25x = 116,690.50 × 116,690.50
4. Step 4: Simplify right side
   53,323.25x = 13,616,672,790.25
5. Step 5: Solve for x
   x = 13,616,672,790.25/53,323.25
6. Step 6: Final answer
   x = 255,360.89