Finding the Third Proportional to 165,532 and 223,558

Step by Step Solution

1. Step 1: Write the proportion equation
   165,532 : 223,558 = 223,558 : x
2. Step 2: Convert to fraction form
   165,532/223,558 = 223,558/x
3. Step 3: Cross multiply
   165,532x = 223,558 × 223,558
4. Step 4: Simplify right side
   165,532x = 49,978,179,364
5. Step 5: Solve for x
   x = 49,978,179,364/165,532
6. Step 6: Final answer
   x = 301,924.58