Finding the Third Proportional to 237,915 and 382,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   237,915 : 382,504.50 = 382,504.50 : x
2. Step 2: Convert to fraction form
   237,915/382,504.50 = 382,504.50/x
3. Step 3: Cross multiply
   237,915x = 382,504.50 × 382,504.50
4. Step 4: Simplify right side
   237,915x = 146,309,692,520.25
5. Step 5: Solve for x
   x = 146,309,692,520.25/237,915
6. Step 6: Final answer
   x = 614,966.24