Finding the Third Proportional to 153,900 and 329,697

Step by Step Solution

1. Step 1: Write the proportion equation
   153,900 : 329,697 = 329,697 : x
2. Step 2: Convert to fraction form
   153,900/329,697 = 329,697/x
3. Step 3: Cross multiply
   153,900x = 329,697 × 329,697
4. Step 4: Simplify right side
   153,900x = 108,700,111,809
5. Step 5: Solve for x
   x = 108,700,111,809/153,900
6. Step 6: Final answer
   x = 706,303.52