Finding the Third Proportional to 111,420 and 238,374

Step by Step Solution

1. Step 1: Write the proportion equation
   111,420 : 238,374 = 238,374 : x
2. Step 2: Convert to fraction form
   111,420/238,374 = 238,374/x
3. Step 3: Cross multiply
   111,420x = 238,374 × 238,374
4. Step 4: Simplify right side
   111,420x = 56,822,163,876
5. Step 5: Solve for x
   x = 56,822,163,876/111,420
6. Step 6: Final answer
   x = 509,981.73