Finding the Third Proportional to 188,830 and 288,174

Step by Step Solution

1. Step 1: Write the proportion equation
   188,830 : 288,174 = 288,174 : x
2. Step 2: Convert to fraction form
   188,830/288,174 = 288,174/x
3. Step 3: Cross multiply
   188,830x = 288,174 × 288,174
4. Step 4: Simplify right side
   188,830x = 83,044,254,276
5. Step 5: Solve for x
   x = 83,044,254,276/188,830
6. Step 6: Final answer
   x = 439,783.16