Finding the Third Proportional to 165,888 and 223,488

Step by Step Solution

1. Step 1: Write the proportion equation
   165,888 : 223,488 = 223,488 : x
2. Step 2: Convert to fraction form
   165,888/223,488 = 223,488/x
3. Step 3: Cross multiply
   165,888x = 223,488 × 223,488
4. Step 4: Simplify right side
   165,888x = 49,946,886,144
5. Step 5: Solve for x
   x = 49,946,886,144/165,888
6. Step 6: Final answer
   x = 301,088