Finding the Third Proportional to 89,523 and 188,262

Step by Step Solution

1. Step 1: Write the proportion equation
   89,523 : 188,262 = 188,262 : x
2. Step 2: Convert to fraction form
   89,523/188,262 = 188,262/x
3. Step 3: Cross multiply
   89,523x = 188,262 × 188,262
4. Step 4: Simplify right side
   89,523x = 35,442,580,644
5. Step 5: Solve for x
   x = 35,442,580,644/89,523
6. Step 6: Final answer
   x = 395,904.75