Finding the Third Proportional to 149,072 and 223,016

Step by Step Solution

1. Step 1: Write the proportion equation
   149,072 : 223,016 = 223,016 : x
2. Step 2: Convert to fraction form
   149,072/223,016 = 223,016/x
3. Step 3: Cross multiply
   149,072x = 223,016 × 223,016
4. Step 4: Simplify right side
   149,072x = 49,736,136,256
5. Step 5: Solve for x
   x = 49,736,136,256/149,072
6. Step 6: Final answer
   x = 333,638.35