Finding the Third Proportional to 138,340 and 200,166

Step by Step Solution

1. Step 1: Write the proportion equation
   138,340 : 200,166 = 200,166 : x
2. Step 2: Convert to fraction form
   138,340/200,166 = 200,166/x
3. Step 3: Cross multiply
   138,340x = 200,166 × 200,166
4. Step 4: Simplify right side
   138,340x = 40,066,427,556
5. Step 5: Solve for x
   x = 40,066,427,556/138,340
6. Step 6: Final answer
   x = 289,622.87