Finding the Third Proportional to 304,827 and 411,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   304,827 : 411,196.50 = 411,196.50 : x
2. Step 2: Convert to fraction form
   304,827/411,196.50 = 411,196.50/x
3. Step 3: Cross multiply
   304,827x = 411,196.50 × 411,196.50
4. Step 4: Simplify right side
   304,827x = 169,082,561,612.25
5. Step 5: Solve for x
   x = 169,082,561,612.25/304,827
6. Step 6: Final answer
   x = 554,683.68