Finding the Third Proportional to 109,464 and 234,456

Step by Step Solution

1. Step 1: Write the proportion equation
   109,464 : 234,456 = 234,456 : x
2. Step 2: Convert to fraction form
   109,464/234,456 = 234,456/x
3. Step 3: Cross multiply
   109,464x = 234,456 × 234,456
4. Step 4: Simplify right side
   109,464x = 54,969,615,936
5. Step 5: Solve for x
   x = 54,969,615,936/109,464
6. Step 6: Final answer
   x = 502,170.72