Finding the Third Proportional to 171,664 and 256,522

Step by Step Solution

1. Step 1: Write the proportion equation
   171,664 : 256,522 = 256,522 : x
2. Step 2: Convert to fraction form
   171,664/256,522 = 256,522/x
3. Step 3: Cross multiply
   171,664x = 256,522 × 256,522
4. Step 4: Simplify right side
   171,664x = 65,803,536,484
5. Step 5: Solve for x
   x = 65,803,536,484/171,664
6. Step 6: Final answer
   x = 383,327.53