Finding the Third Proportional to 120,096 and 188,392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,096 : 188,392.50 = 188,392.50 : x
2. Step 2: Convert to fraction form
   120,096/188,392.50 = 188,392.50/x
3. Step 3: Cross multiply
   120,096x = 188,392.50 × 188,392.50
4. Step 4: Simplify right side
   120,096x = 35,491,734,056.25
5. Step 5: Solve for x
   x = 35,491,734,056.25/120,096
6. Step 6: Final answer
   x = 295,528.03