Finding the Third Proportional to 120,225 and 173,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,225 : 173,173.50 = 173,173.50 : x
2. Step 2: Convert to fraction form
   120,225/173,173.50 = 173,173.50/x
3. Step 3: Cross multiply
   120,225x = 173,173.50 × 173,173.50
4. Step 4: Simplify right side
   120,225x = 29,989,061,102.25
5. Step 5: Solve for x
   x = 29,989,061,102.25/120,225
6. Step 6: Final answer
   x = 249,441.14