Finding the Third Proportional to 188,020 and 287,984

Step by Step Solution

1. Step 1: Write the proportion equation
   188,020 : 287,984 = 287,984 : x
2. Step 2: Convert to fraction form
   188,020/287,984 = 287,984/x
3. Step 3: Cross multiply
   188,020x = 287,984 × 287,984
4. Step 4: Simplify right side
   188,020x = 82,934,784,256
5. Step 5: Solve for x
   x = 82,934,784,256/188,020
6. Step 6: Final answer
   x = 441,095.54