Finding the Third Proportional to 302,592 and 411,154.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,592 : 411,154.50 = 411,154.50 : x
2. Step 2: Convert to fraction form
   302,592/411,154.50 = 411,154.50/x
3. Step 3: Cross multiply
   302,592x = 411,154.50 × 411,154.50
4. Step 4: Simplify right side
   302,592x = 169,048,022,870.25
5. Step 5: Solve for x
   x = 169,048,022,870.25/302,592
6. Step 6: Final answer
   x = 558,666.53