Finding the Third Proportional to 302,664 and 424,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,664 : 424,174.50 = 424,174.50 : x
2. Step 2: Convert to fraction form
   302,664/424,174.50 = 424,174.50/x
3. Step 3: Cross multiply
   302,664x = 424,174.50 × 424,174.50
4. Step 4: Simplify right side
   302,664x = 179,924,006,450.25
5. Step 5: Solve for x
   x = 179,924,006,450.25/302,664
6. Step 6: Final answer
   x = 594,467.81