Finding the Third Proportional to 140,294 and 338,099

Step by Step Solution

1. Step 1: Write the proportion equation
   140,294 : 338,099 = 338,099 : x
2. Step 2: Convert to fraction form
   140,294/338,099 = 338,099/x
3. Step 3: Cross multiply
   140,294x = 338,099 × 338,099
4. Step 4: Simplify right side
   140,294x = 114,310,933,801
5. Step 5: Solve for x
   x = 114,310,933,801/140,294
6. Step 6: Final answer
   x = 814,795.60