Finding the Third Proportional to 319,291 and 464,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,291 : 464,896.50 = 464,896.50 : x
2. Step 2: Convert to fraction form
   319,291/464,896.50 = 464,896.50/x
3. Step 3: Cross multiply
   319,291x = 464,896.50 × 464,896.50
4. Step 4: Simplify right side
   319,291x = 216,128,755,712.25
5. Step 5: Solve for x
   x = 216,128,755,712.25/319,291
6. Step 6: Final answer
   x = 676,902.12