Finding the Third Proportional to 87,267 and 188,262

Step by Step Solution

1. Step 1: Write the proportion equation
   87,267 : 188,262 = 188,262 : x
2. Step 2: Convert to fraction form
   87,267/188,262 = 188,262/x
3. Step 3: Cross multiply
   87,267x = 188,262 × 188,262
4. Step 4: Simplify right side
   87,267x = 35,442,580,644
5. Step 5: Solve for x
   x = 35,442,580,644/87,267
6. Step 6: Final answer
   x = 406,139.56