Finding the Third Proportional to 329,178 and 707,462

Step by Step Solution

1. Step 1: Write the proportion equation
   329,178 : 707,462 = 707,462 : x
2. Step 2: Convert to fraction form
   329,178/707,462 = 707,462/x
3. Step 3: Cross multiply
   329,178x = 707,462 × 707,462
4. Step 4: Simplify right side
   329,178x = 500,502,481,444
5. Step 5: Solve for x
   x = 500,502,481,444/329,178
6. Step 6: Final answer
   x = 1,520,461.52