Finding the Third Proportional to 109,440 and 236,064

Step by Step Solution

1. Step 1: Write the proportion equation
   109,440 : 236,064 = 236,064 : x
2. Step 2: Convert to fraction form
   109,440/236,064 = 236,064/x
3. Step 3: Cross multiply
   109,440x = 236,064 × 236,064
4. Step 4: Simplify right side
   109,440x = 55,726,212,096
5. Step 5: Solve for x
   x = 55,726,212,096/109,440
6. Step 6: Final answer
   x = 509,194.19