Finding the Third Proportional to 319,166 and 472,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,166 : 472,586.50 = 472,586.50 : x
2. Step 2: Convert to fraction form
   319,166/472,586.50 = 472,586.50/x
3. Step 3: Cross multiply
   319,166x = 472,586.50 × 472,586.50
4. Step 4: Simplify right side
   319,166x = 223,337,999,982.25
5. Step 5: Solve for x
   x = 223,337,999,982.25/319,166
6. Step 6: Final answer
   x = 699,754.99