Finding the Third Proportional to 109,460 and 236,384

Step by Step Solution

1. Step 1: Write the proportion equation
   109,460 : 236,384 = 236,384 : x
2. Step 2: Convert to fraction form
   109,460/236,384 = 236,384/x
3. Step 3: Cross multiply
   109,460x = 236,384 × 236,384
4. Step 4: Simplify right side
   109,460x = 55,877,395,456
5. Step 5: Solve for x
   x = 55,877,395,456/109,460
6. Step 6: Final answer
   x = 510,482.33