Finding the Third Proportional to 55,836 and 117,180

Step by Step Solution

1. Step 1: Write the proportion equation
   55,836 : 117,180 = 117,180 : x
2. Step 2: Convert to fraction form
   55,836/117,180 = 117,180/x
3. Step 3: Cross multiply
   55,836x = 117,180 × 117,180
4. Step 4: Simplify right side
   55,836x = 13,731,152,400
5. Step 5: Solve for x
   x = 13,731,152,400/55,836
6. Step 6: Final answer
   x = 245,919.34