Finding the Third Proportional to 110,420 and 238,333

Step by Step Solution

1. Step 1: Write the proportion equation
   110,420 : 238,333 = 238,333 : x
2. Step 2: Convert to fraction form
   110,420/238,333 = 238,333/x
3. Step 3: Cross multiply
   110,420x = 238,333 × 238,333
4. Step 4: Simplify right side
   110,420x = 56,802,618,889
5. Step 5: Solve for x
   x = 56,802,618,889/110,420
6. Step 6: Final answer
   x = 514,423.28