Finding the Third Proportional to 105,509 and 249,066

Step by Step Solution

1. Step 1: Write the proportion equation
   105,509 : 249,066 = 249,066 : x
2. Step 2: Convert to fraction form
   105,509/249,066 = 249,066/x
3. Step 3: Cross multiply
   105,509x = 249,066 × 249,066
4. Step 4: Simplify right side
   105,509x = 62,033,872,356
5. Step 5: Solve for x
   x = 62,033,872,356/105,509
6. Step 6: Final answer
   x = 587,948.63