Finding the Third Proportional to 53,119.50 and 114,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,119.50 : 114,433.50 = 114,433.50 : x
2. Step 2: Convert to fraction form
   53,119.50/114,433.50 = 114,433.50/x
3. Step 3: Cross multiply
   53,119.50x = 114,433.50 × 114,433.50
4. Step 4: Simplify right side
   53,119.50x = 13,095,025,922.25
5. Step 5: Solve for x
   x = 13,095,025,922.25/53,119.50
6. Step 6: Final answer
   x = 246,520.13