Finding the Third Proportional to 55,685 and 114,088

Step by Step Solution

1. Step 1: Write the proportion equation
   55,685 : 114,088 = 114,088 : x
2. Step 2: Convert to fraction form
   55,685/114,088 = 114,088/x
3. Step 3: Cross multiply
   55,685x = 114,088 × 114,088
4. Step 4: Simplify right side
   55,685x = 13,016,071,744
5. Step 5: Solve for x
   x = 13,016,071,744/55,685
6. Step 6: Final answer
   x = 233,744.67