Finding the Third Proportional to 301,435.50 and 409,358

Step by Step Solution

1. Step 1: Write the proportion equation
   301,435.50 : 409,358 = 409,358 : x
2. Step 2: Convert to fraction form
   301,435.50/409,358 = 409,358/x
3. Step 3: Cross multiply
   301,435.50x = 409,358 × 409,358
4. Step 4: Simplify right side
   301,435.50x = 167,573,972,164
5. Step 5: Solve for x
   x = 167,573,972,164/301,435.50
6. Step 6: Final answer
   x = 555,919.83