Finding the Third Proportional to 53,183 and 113,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,183 : 113,405.50 = 113,405.50 : x
2. Step 2: Convert to fraction form
   53,183/113,405.50 = 113,405.50/x
3. Step 3: Cross multiply
   53,183x = 113,405.50 × 113,405.50
4. Step 4: Simplify right side
   53,183x = 12,860,807,430.25
5. Step 5: Solve for x
   x = 12,860,807,430.25/53,183
6. Step 6: Final answer
   x = 241,821.77