Finding the Third Proportional to 329,924 and 706,504

Step by Step Solution

1. Step 1: Write the proportion equation
   329,924 : 706,504 = 706,504 : x
2. Step 2: Convert to fraction form
   329,924/706,504 = 706,504/x
3. Step 3: Cross multiply
   329,924x = 706,504 × 706,504
4. Step 4: Simplify right side
   329,924x = 499,147,902,016
5. Step 5: Solve for x
   x = 499,147,902,016/329,924
6. Step 6: Final answer
   x = 1,512,917.83