Finding the Third Proportional to 55,665 and 116,798.06

Step by Step Solution

1. Step 1: Write the proportion equation
   55,665 : 116,798.06 = 116,798.06 : x
2. Step 2: Convert to fraction form
   55,665/116,798.06 = 116,798.06/x
3. Step 3: Cross multiply
   55,665x = 116,798.06 × 116,798.06
4. Step 4: Simplify right side
   55,665x = 13,641,787,403.75
5. Step 5: Solve for x
   x = 13,641,787,403.75/55,665
6. Step 6: Final answer
   x = 245,069.39