Finding the Third Proportional to 138,336 and 200,160

Step by Step Solution

1. Step 1: Write the proportion equation
   138,336 : 200,160 = 200,160 : x
2. Step 2: Convert to fraction form
   138,336/200,160 = 200,160/x
3. Step 3: Cross multiply
   138,336x = 200,160 × 200,160
4. Step 4: Simplify right side
   138,336x = 40,064,025,600
5. Step 5: Solve for x
   x = 40,064,025,600/138,336
6. Step 6: Final answer
   x = 289,613.88