Finding the Third Proportional to 152,736 and 223,056

Step by Step Solution

1. Step 1: Write the proportion equation
   152,736 : 223,056 = 223,056 : x
2. Step 2: Convert to fraction form
   152,736/223,056 = 223,056/x
3. Step 3: Cross multiply
   152,736x = 223,056 × 223,056
4. Step 4: Simplify right side
   152,736x = 49,753,979,136
5. Step 5: Solve for x
   x = 49,753,979,136/152,736
6. Step 6: Final answer
   x = 325,751.49