Finding the Third Proportional to 53,208 and 113,760

Step by Step Solution

1. Step 1: Write the proportion equation
   53,208 : 113,760 = 113,760 : x
2. Step 2: Convert to fraction form
   53,208/113,760 = 113,760/x
3. Step 3: Cross multiply
   53,208x = 113,760 × 113,760
4. Step 4: Simplify right side
   53,208x = 12,941,337,600
5. Step 5: Solve for x
   x = 12,941,337,600/53,208
6. Step 6: Final answer
   x = 243,221.65