Finding the Third Proportional to 53,277 and 111,657

Step by Step Solution

1. Step 1: Write the proportion equation
   53,277 : 111,657 = 111,657 : x
2. Step 2: Convert to fraction form
   53,277/111,657 = 111,657/x
3. Step 3: Cross multiply
   53,277x = 111,657 × 111,657
4. Step 4: Simplify right side
   53,277x = 12,467,285,649
5. Step 5: Solve for x
   x = 12,467,285,649/53,277
6. Step 6: Final answer
   x = 234,008.78