Finding the Third Proportional to 188,380 and 282,991.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,380 : 282,991.50 = 282,991.50 : x
2. Step 2: Convert to fraction form
   188,380/282,991.50 = 282,991.50/x
3. Step 3: Cross multiply
   188,380x = 282,991.50 × 282,991.50
4. Step 4: Simplify right side
   188,380x = 80,084,189,072.25
5. Step 5: Solve for x
   x = 80,084,189,072.25/188,380
6. Step 6: Final answer
   x = 425,120.44