Finding the Third Proportional to 147,780 and 223,222

Step by Step Solution

1. Step 1: Write the proportion equation
   147,780 : 223,222 = 223,222 : x
2. Step 2: Convert to fraction form
   147,780/223,222 = 223,222/x
3. Step 3: Cross multiply
   147,780x = 223,222 × 223,222
4. Step 4: Simplify right side
   147,780x = 49,828,061,284
5. Step 5: Solve for x
   x = 49,828,061,284/147,780
6. Step 6: Final answer
   x = 337,177.30