Finding the Third Proportional to 157,989 and 329,104.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,989 : 329,104.50 = 329,104.50 : x
2. Step 2: Convert to fraction form
   157,989/329,104.50 = 329,104.50/x
3. Step 3: Cross multiply
   157,989x = 329,104.50 × 329,104.50
4. Step 4: Simplify right side
   157,989x = 108,309,771,920.25
5. Step 5: Solve for x
   x = 108,309,771,920.25/157,989
6. Step 6: Final answer
   x = 685,552.61