Finding the Third Proportional to 55,234 and 118,208

Step by Step Solution

1. Step 1: Write the proportion equation
   55,234 : 118,208 = 118,208 : x
2. Step 2: Convert to fraction form
   55,234/118,208 = 118,208/x
3. Step 3: Cross multiply
   55,234x = 118,208 × 118,208
4. Step 4: Simplify right side
   55,234x = 13,973,131,264
5. Step 5: Solve for x
   x = 13,973,131,264/55,234
6. Step 6: Final answer
   x = 252,980.61