Finding the Third Proportional to 53,410.50 and 116,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,410.50 : 116,746.50 = 116,746.50 : x
2. Step 2: Convert to fraction form
   53,410.50/116,746.50 = 116,746.50/x
3. Step 3: Cross multiply
   53,410.50x = 116,746.50 × 116,746.50
4. Step 4: Simplify right side
   53,410.50x = 13,629,745,262.25
5. Step 5: Solve for x
   x = 13,629,745,262.25/53,410.50
6. Step 6: Final answer
   x = 255,188.50