Finding the Third Proportional to 188,382 and 263,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,382 : 263,500.50 = 263,500.50 : x
2. Step 2: Convert to fraction form
   188,382/263,500.50 = 263,500.50/x
3. Step 3: Cross multiply
   188,382x = 263,500.50 × 263,500.50
4. Step 4: Simplify right side
   188,382x = 69,432,513,500.25
5. Step 5: Solve for x
   x = 69,432,513,500.25/188,382
6. Step 6: Final answer
   x = 368,572.97