Finding the Third Proportional to 120,640 and 193,500

Step by Step Solution

1. Step 1: Write the proportion equation
   120,640 : 193,500 = 193,500 : x
2. Step 2: Convert to fraction form
   120,640/193,500 = 193,500/x
3. Step 3: Cross multiply
   120,640x = 193,500 × 193,500
4. Step 4: Simplify right side
   120,640x = 37,442,250,000
5. Step 5: Solve for x
   x = 37,442,250,000/120,640
6. Step 6: Final answer
   x = 310,363.48