Finding the Third Proportional to 154,926 and 338,280

Step by Step Solution

1. Step 1: Write the proportion equation
   154,926 : 338,280 = 338,280 : x
2. Step 2: Convert to fraction form
   154,926/338,280 = 338,280/x
3. Step 3: Cross multiply
   154,926x = 338,280 × 338,280
4. Step 4: Simplify right side
   154,926x = 114,433,358,400
5. Step 5: Solve for x
   x = 114,433,358,400/154,926
6. Step 6: Final answer
   x = 738,632.37