Finding the Third Proportional to 223,796 and 341,538

Step by Step Solution

1. Step 1: Write the proportion equation
   223,796 : 341,538 = 341,538 : x
2. Step 2: Convert to fraction form
   223,796/341,538 = 341,538/x
3. Step 3: Cross multiply
   223,796x = 341,538 × 341,538
4. Step 4: Simplify right side
   223,796x = 116,648,205,444
5. Step 5: Solve for x
   x = 116,648,205,444/223,796
6. Step 6: Final answer
   x = 521,225.60