Finding the Third Proportional to 329,174 and 705,003

Step by Step Solution

1. Step 1: Write the proportion equation
   329,174 : 705,003 = 705,003 : x
2. Step 2: Convert to fraction form
   329,174/705,003 = 705,003/x
3. Step 3: Cross multiply
   329,174x = 705,003 × 705,003
4. Step 4: Simplify right side
   329,174x = 497,029,230,009
5. Step 5: Solve for x
   x = 497,029,230,009/329,174
6. Step 6: Final answer
   x = 1,509,928.58