Finding the Third Proportional to 179,648 and 299,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   179,648 : 299,395.50 = 299,395.50 : x
2. Step 2: Convert to fraction form
   179,648/299,395.50 = 299,395.50/x
3. Step 3: Cross multiply
   179,648x = 299,395.50 × 299,395.50
4. Step 4: Simplify right side
   179,648x = 89,637,665,420.25
5. Step 5: Solve for x
   x = 89,637,665,420.25/179,648
6. Step 6: Final answer
   x = 498,962.78