Finding the Third Proportional to 188,543 and 263,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,543 : 263,734.50 = 263,734.50 : x
2. Step 2: Convert to fraction form
   188,543/263,734.50 = 263,734.50/x
3. Step 3: Cross multiply
   188,543x = 263,734.50 × 263,734.50
4. Step 4: Simplify right side
   188,543x = 69,555,886,490.25
5. Step 5: Solve for x
   x = 69,555,886,490.25/188,543
6. Step 6: Final answer
   x = 368,912.59