Finding the Third Proportional to 157,992 and 329,110.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,992 : 329,110.50 = 329,110.50 : x
2. Step 2: Convert to fraction form
   157,992/329,110.50 = 329,110.50/x
3. Step 3: Cross multiply
   157,992x = 329,110.50 × 329,110.50
4. Step 4: Simplify right side
   157,992x = 108,313,721,210.25
5. Step 5: Solve for x
   x = 108,313,721,210.25/157,992
6. Step 6: Final answer
   x = 685,564.59