Finding the Third Proportional to 164,493.75 and 358,734

Step by Step Solution

1. Step 1: Write the proportion equation
   164,493.75 : 358,734 = 358,734 : x
2. Step 2: Convert to fraction form
   164,493.75/358,734 = 358,734/x
3. Step 3: Cross multiply
   164,493.75x = 358,734 × 358,734
4. Step 4: Simplify right side
   164,493.75x = 128,690,082,756
5. Step 5: Solve for x
   x = 128,690,082,756/164,493.75
6. Step 6: Final answer
   x = 782,340.26