Finding the Third Proportional to 188,488 and 277,076

Step by Step Solution

1. Step 1: Write the proportion equation
   188,488 : 277,076 = 277,076 : x
2. Step 2: Convert to fraction form
   188,488/277,076 = 277,076/x
3. Step 3: Cross multiply
   188,488x = 277,076 × 277,076
4. Step 4: Simplify right side
   188,488x = 76,771,109,776
5. Step 5: Solve for x
   x = 76,771,109,776/188,488
6. Step 6: Final answer
   x = 407,299.72