Finding the Third Proportional to 302,580 and 411,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,580 : 411,136.50 = 411,136.50 : x
2. Step 2: Convert to fraction form
   302,580/411,136.50 = 411,136.50/x
3. Step 3: Cross multiply
   302,580x = 411,136.50 × 411,136.50
4. Step 4: Simplify right side
   302,580x = 169,033,221,632.25
5. Step 5: Solve for x
   x = 169,033,221,632.25/302,580
6. Step 6: Final answer
   x = 558,639.77