Finding the Third Proportional to 109,768 and 242,384

Step by Step Solution

1. Step 1: Write the proportion equation
   109,768 : 242,384 = 242,384 : x
2. Step 2: Convert to fraction form
   109,768/242,384 = 242,384/x
3. Step 3: Cross multiply
   109,768x = 242,384 × 242,384
4. Step 4: Simplify right side
   109,768x = 58,750,003,456
5. Step 5: Solve for x
   x = 58,750,003,456/109,768
6. Step 6: Final answer
   x = 535,219.77