Finding the Third Proportional to 55,776 and 114,270

Step by Step Solution

1. Step 1: Write the proportion equation
   55,776 : 114,270 = 114,270 : x
2. Step 2: Convert to fraction form
   55,776/114,270 = 114,270/x
3. Step 3: Cross multiply
   55,776x = 114,270 × 114,270
4. Step 4: Simplify right side
   55,776x = 13,057,632,900
5. Step 5: Solve for x
   x = 13,057,632,900/55,776
6. Step 6: Final answer
   x = 234,108.45