Finding the Third Proportional to 171,847 and 406,314

Step by Step Solution

1. Step 1: Write the proportion equation
   171,847 : 406,314 = 406,314 : x
2. Step 2: Convert to fraction form
   171,847/406,314 = 406,314/x
3. Step 3: Cross multiply
   171,847x = 406,314 × 406,314
4. Step 4: Simplify right side
   171,847x = 165,091,066,596
5. Step 5: Solve for x
   x = 165,091,066,596/171,847
6. Step 6: Final answer
   x = 960,686.35