Finding the Third Proportional to 53,102.25 and 116,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,102.25 : 116,410.50 = 116,410.50 : x
2. Step 2: Convert to fraction form
   53,102.25/116,410.50 = 116,410.50/x
3. Step 3: Cross multiply
   53,102.25x = 116,410.50 × 116,410.50
4. Step 4: Simplify right side
   53,102.25x = 13,551,404,510.25
5. Step 5: Solve for x
   x = 13,551,404,510.25/53,102.25
6. Step 6: Final answer
   x = 255,194.54