Finding the Third Proportional to 105,597 and 234,522

Step by Step Solution

1. Step 1: Write the proportion equation
   105,597 : 234,522 = 234,522 : x
2. Step 2: Convert to fraction form
   105,597/234,522 = 234,522/x
3. Step 3: Cross multiply
   105,597x = 234,522 × 234,522
4. Step 4: Simplify right side
   105,597x = 55,000,568,484
5. Step 5: Solve for x
   x = 55,000,568,484/105,597
6. Step 6: Final answer
   x = 520,853.51