Finding the Third Proportional to 152,216 and 328,564

Step by Step Solution

1. Step 1: Write the proportion equation
   152,216 : 328,564 = 328,564 : x
2. Step 2: Convert to fraction form
   152,216/328,564 = 328,564/x
3. Step 3: Cross multiply
   152,216x = 328,564 × 328,564
4. Step 4: Simplify right side
   152,216x = 107,954,302,096
5. Step 5: Solve for x
   x = 107,954,302,096/152,216
6. Step 6: Final answer
   x = 709,217.84