Finding the Third Proportional to 329,169 and 491,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   329,169 : 491,596.50 = 491,596.50 : x
2. Step 2: Convert to fraction form
   329,169/491,596.50 = 491,596.50/x
3. Step 3: Cross multiply
   329,169x = 491,596.50 × 491,596.50
4. Step 4: Simplify right side
   329,169x = 241,667,118,812.25
5. Step 5: Solve for x
   x = 241,667,118,812.25/329,169
6. Step 6: Final answer
   x = 734,173.38