Finding the Third Proportional to 111,423 and 238,380

Step by Step Solution

1. Step 1: Write the proportion equation
   111,423 : 238,380 = 238,380 : x
2. Step 2: Convert to fraction form
   111,423/238,380 = 238,380/x
3. Step 3: Cross multiply
   111,423x = 238,380 × 238,380
4. Step 4: Simplify right side
   111,423x = 56,825,024,400
5. Step 5: Solve for x
   x = 56,825,024,400/111,423
6. Step 6: Final answer
   x = 509,993.67