Finding the Third Proportional to 172,819 and 357,945

Step by Step Solution

1. Step 1: Write the proportion equation
   172,819 : 357,945 = 357,945 : x
2. Step 2: Convert to fraction form
   172,819/357,945 = 357,945/x
3. Step 3: Cross multiply
   172,819x = 357,945 × 357,945
4. Step 4: Simplify right side
   172,819x = 128,124,623,025
5. Step 5: Solve for x
   x = 128,124,623,025/172,819
6. Step 6: Final answer
   x = 741,380.42