Finding the Third Proportional to 174,864 and 262,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,864 : 262,297.50 = 262,297.50 : x
2. Step 2: Convert to fraction form
   174,864/262,297.50 = 262,297.50/x
3. Step 3: Cross multiply
   174,864x = 262,297.50 × 262,297.50
4. Step 4: Simplify right side
   174,864x = 68,799,978,506.25
5. Step 5: Solve for x
   x = 68,799,978,506.25/174,864
6. Step 6: Final answer
   x = 393,448.50