Finding the Third Proportional to 329,688 and 706,032

Step by Step Solution

1. Step 1: Write the proportion equation
   329,688 : 706,032 = 706,032 : x
2. Step 2: Convert to fraction form
   329,688/706,032 = 706,032/x
3. Step 3: Cross multiply
   329,688x = 706,032 × 706,032
4. Step 4: Simplify right side
   329,688x = 498,481,185,024
5. Step 5: Solve for x
   x = 498,481,185,024/329,688
6. Step 6: Final answer
   x = 1,511,978.55