Finding the Third Proportional to 237,600 and 314,064

Step by Step Solution

1. Step 1: Write the proportion equation
   237,600 : 314,064 = 314,064 : x
2. Step 2: Convert to fraction form
   237,600/314,064 = 314,064/x
3. Step 3: Cross multiply
   237,600x = 314,064 × 314,064
4. Step 4: Simplify right side
   237,600x = 98,636,196,096
5. Step 5: Solve for x
   x = 98,636,196,096/237,600
6. Step 6: Final answer
   x = 415,135.51