Finding the Third Proportional to 155,918 and 338,188

Step by Step Solution

1. Step 1: Write the proportion equation
   155,918 : 338,188 = 338,188 : x
2. Step 2: Convert to fraction form
   155,918/338,188 = 338,188/x
3. Step 3: Cross multiply
   155,918x = 338,188 × 338,188
4. Step 4: Simplify right side
   155,918x = 114,371,123,344
5. Step 5: Solve for x
   x = 114,371,123,344/155,918
6. Step 6: Final answer
   x = 733,533.80