Finding the Third Proportional to 109,353 and 139,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,353 : 139,729.50 = 139,729.50 : x
2. Step 2: Convert to fraction form
   109,353/139,729.50 = 139,729.50/x
3. Step 3: Cross multiply
   109,353x = 139,729.50 × 139,729.50
4. Step 4: Simplify right side
   109,353x = 19,524,333,170.25
5. Step 5: Solve for x
   x = 19,524,333,170.25/109,353
6. Step 6: Final answer
   x = 178,544.10