Finding the Third Proportional to 329,033 and 708,003

Step by Step Solution

1. Step 1: Write the proportion equation
   329,033 : 708,003 = 708,003 : x
2. Step 2: Convert to fraction form
   329,033/708,003 = 708,003/x
3. Step 3: Cross multiply
   329,033x = 708,003 × 708,003
4. Step 4: Simplify right side
   329,033x = 501,268,248,009
5. Step 5: Solve for x
   x = 501,268,248,009/329,033
6. Step 6: Final answer
   x = 1,523,458.89