Finding the Third Proportional to 215,514 and 470,188

Step by Step Solution

1. Step 1: Write the proportion equation
   215,514 : 470,188 = 470,188 : x
2. Step 2: Convert to fraction form
   215,514/470,188 = 470,188/x
3. Step 3: Cross multiply
   215,514x = 470,188 × 470,188
4. Step 4: Simplify right side
   215,514x = 221,076,755,344
5. Step 5: Solve for x
   x = 221,076,755,344/215,514
6. Step 6: Final answer
   x = 1,025,811.57