Finding the Third Proportional to 109,658 and 234,884

Step by Step Solution

1. Step 1: Write the proportion equation
   109,658 : 234,884 = 234,884 : x
2. Step 2: Convert to fraction form
   109,658/234,884 = 234,884/x
3. Step 3: Cross multiply
   109,658x = 234,884 × 234,884
4. Step 4: Simplify right side
   109,658x = 55,170,493,456
5. Step 5: Solve for x
   x = 55,170,493,456/109,658
6. Step 6: Final answer
   x = 503,114.17