Finding the Third Proportional to 214,870 and 329,166

Step by Step Solution

1. Step 1: Write the proportion equation
   214,870 : 329,166 = 329,166 : x
2. Step 2: Convert to fraction form
   214,870/329,166 = 329,166/x
3. Step 3: Cross multiply
   214,870x = 329,166 × 329,166
4. Step 4: Simplify right side
   214,870x = 108,350,255,556
5. Step 5: Solve for x
   x = 108,350,255,556/214,870
6. Step 6: Final answer
   x = 504,259.58