Finding the Third Proportional to 120,199.50 and 174,096

Step by Step Solution

1. Step 1: Write the proportion equation
   120,199.50 : 174,096 = 174,096 : x
2. Step 2: Convert to fraction form
   120,199.50/174,096 = 174,096/x
3. Step 3: Cross multiply
   120,199.50x = 174,096 × 174,096
4. Step 4: Simplify right side
   120,199.50x = 30,309,417,216
5. Step 5: Solve for x
   x = 30,309,417,216/120,199.50
6. Step 6: Final answer
   x = 252,159.26