Finding the Third Proportional to 218,402 and 329,142

Step by Step Solution

1. Step 1: Write the proportion equation
   218,402 : 329,142 = 329,142 : x
2. Step 2: Convert to fraction form
   218,402/329,142 = 329,142/x
3. Step 3: Cross multiply
   218,402x = 329,142 × 329,142
4. Step 4: Simplify right side
   218,402x = 108,334,456,164
5. Step 5: Solve for x
   x = 108,334,456,164/218,402
6. Step 6: Final answer
   x = 496,032.34