Finding the Third Proportional to 105,506 and 249,059

Step by Step Solution

1. Step 1: Write the proportion equation
   105,506 : 249,059 = 249,059 : x
2. Step 2: Convert to fraction form
   105,506/249,059 = 249,059/x
3. Step 3: Cross multiply
   105,506x = 249,059 × 249,059
4. Step 4: Simplify right side
   105,506x = 62,030,385,481
5. Step 5: Solve for x
   x = 62,030,385,481/105,506
6. Step 6: Final answer
   x = 587,932.30