Finding the Third Proportional to 311,844.50 and 434,478

Step by Step Solution

1. Step 1: Write the proportion equation
   311,844.50 : 434,478 = 434,478 : x
2. Step 2: Convert to fraction form
   311,844.50/434,478 = 434,478/x
3. Step 3: Cross multiply
   311,844.50x = 434,478 × 434,478
4. Step 4: Simplify right side
   311,844.50x = 188,771,132,484
5. Step 5: Solve for x
   x = 188,771,132,484/311,844.50
6. Step 6: Final answer
   x = 605,337.38