Finding the Third Proportional to 178,449 and 265,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,449 : 265,468.50 = 265,468.50 : x
2. Step 2: Convert to fraction form
   178,449/265,468.50 = 265,468.50/x
3. Step 3: Cross multiply
   178,449x = 265,468.50 × 265,468.50
4. Step 4: Simplify right side
   178,449x = 70,473,524,492.25
5. Step 5: Solve for x
   x = 70,473,524,492.25/178,449
6. Step 6: Final answer
   x = 394,922.50