Finding the Third Proportional to 109,184 and 238,336

Step by Step Solution

1. Step 1: Write the proportion equation
   109,184 : 238,336 = 238,336 : x
2. Step 2: Convert to fraction form
   109,184/238,336 = 238,336/x
3. Step 3: Cross multiply
   109,184x = 238,336 × 238,336
4. Step 4: Simplify right side
   109,184x = 56,804,048,896
5. Step 5: Solve for x
   x = 56,804,048,896/109,184
6. Step 6: Final answer
   x = 520,259.83