Finding the Third Proportional to 237,384 and 362,064

Step by Step Solution

1. Step 1: Write the proportion equation
   237,384 : 362,064 = 362,064 : x
2. Step 2: Convert to fraction form
   237,384/362,064 = 362,064/x
3. Step 3: Cross multiply
   237,384x = 362,064 × 362,064
4. Step 4: Simplify right side
   237,384x = 131,090,340,096
5. Step 5: Solve for x
   x = 131,090,340,096/237,384
6. Step 6: Final answer
   x = 552,229.05