Finding the Third Proportional to 55,686 and 114,090

Step by Step Solution

1. Step 1: Write the proportion equation
   55,686 : 114,090 = 114,090 : x
2. Step 2: Convert to fraction form
   55,686/114,090 = 114,090/x
3. Step 3: Cross multiply
   55,686x = 114,090 × 114,090
4. Step 4: Simplify right side
   55,686x = 13,016,528,100
5. Step 5: Solve for x
   x = 13,016,528,100/55,686
6. Step 6: Final answer
   x = 233,748.66