Finding the Third Proportional to 221,174 and 471,314

Step by Step Solution

1. Step 1: Write the proportion equation
   221,174 : 471,314 = 471,314 : x
2. Step 2: Convert to fraction form
   221,174/471,314 = 471,314/x
3. Step 3: Cross multiply
   221,174x = 471,314 × 471,314
4. Step 4: Simplify right side
   221,174x = 222,136,886,596
5. Step 5: Solve for x
   x = 222,136,886,596/221,174
6. Step 6: Final answer
   x = 1,004,353.53