Finding the Third Proportional to 120,174 and 188,510

Step by Step Solution

1. Step 1: Write the proportion equation
   120,174 : 188,510 = 188,510 : x
2. Step 2: Convert to fraction form
   120,174/188,510 = 188,510/x
3. Step 3: Cross multiply
   120,174x = 188,510 × 188,510
4. Step 4: Simplify right side
   120,174x = 35,536,020,100
5. Step 5: Solve for x
   x = 35,536,020,100/120,174
6. Step 6: Final answer
   x = 295,704.73