Finding the Third Proportional to 329,319 and 508,396.50

Step by Step Solution

1. Step 1: Write the proportion equation
   329,319 : 508,396.50 = 508,396.50 : x
2. Step 2: Convert to fraction form
   329,319/508,396.50 = 508,396.50/x
3. Step 3: Cross multiply
   329,319x = 508,396.50 × 508,396.50
4. Step 4: Simplify right side
   329,319x = 258,467,001,212.25
5. Step 5: Solve for x
   x = 258,467,001,212.25/329,319
6. Step 6: Final answer
   x = 784,852.99