Finding the Third Proportional to 152,738 and 327,508

Step by Step Solution

1. Step 1: Write the proportion equation
   152,738 : 327,508 = 327,508 : x
2. Step 2: Convert to fraction form
   152,738/327,508 = 327,508/x
3. Step 3: Cross multiply
   152,738x = 327,508 × 327,508
4. Step 4: Simplify right side
   152,738x = 107,261,490,064
5. Step 5: Solve for x
   x = 107,261,490,064/152,738
6. Step 6: Final answer
   x = 702,258.05