Finding the Third Proportional to 147,776 and 223,216

Step by Step Solution

1. Step 1: Write the proportion equation
   147,776 : 223,216 = 223,216 : x
2. Step 2: Convert to fraction form
   147,776/223,216 = 223,216/x
3. Step 3: Cross multiply
   147,776x = 223,216 × 223,216
4. Step 4: Simplify right side
   147,776x = 49,825,382,656
5. Step 5: Solve for x
   x = 49,825,382,656/147,776
6. Step 6: Final answer
   x = 337,168.30