Finding the Third Proportional to 237,414 and 367,120.50

Step by Step Solution

1. Step 1: Write the proportion equation
   237,414 : 367,120.50 = 367,120.50 : x
2. Step 2: Convert to fraction form
   237,414/367,120.50 = 367,120.50/x
3. Step 3: Cross multiply
   237,414x = 367,120.50 × 367,120.50
4. Step 4: Simplify right side
   237,414x = 134,777,461,520.25
5. Step 5: Solve for x
   x = 134,777,461,520.25/237,414
6. Step 6: Final answer
   x = 567,689.61