Finding the Third Proportional to 111,420 and 238,392

Step by Step Solution

1. Step 1: Write the proportion equation
   111,420 : 238,392 = 238,392 : x
2. Step 2: Convert to fraction form
   111,420/238,392 = 238,392/x
3. Step 3: Cross multiply
   111,420x = 238,392 × 238,392
4. Step 4: Simplify right side
   111,420x = 56,830,745,664
5. Step 5: Solve for x
   x = 56,830,745,664/111,420
6. Step 6: Final answer
   x = 510,058.75