Finding the Third Proportional to 188,802 and 263,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,802 : 263,974.50 = 263,974.50 : x
2. Step 2: Convert to fraction form
   188,802/263,974.50 = 263,974.50/x
3. Step 3: Cross multiply
   188,802x = 263,974.50 × 263,974.50
4. Step 4: Simplify right side
   188,802x = 69,682,536,650.25
5. Step 5: Solve for x
   x = 69,682,536,650.25/188,802
6. Step 6: Final answer
   x = 369,077.32