Finding the Third Proportional to 124,491 and 178,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,491 : 178,960.50 = 178,960.50 : x
2. Step 2: Convert to fraction form
   124,491/178,960.50 = 178,960.50/x
3. Step 3: Cross multiply
   124,491x = 178,960.50 × 178,960.50
4. Step 4: Simplify right side
   124,491x = 32,026,860,560.25
5. Step 5: Solve for x
   x = 32,026,860,560.25/124,491
6. Step 6: Final answer
   x = 257,262.46