Finding the Third Proportional to 138,757 and 287,360

Step by Step Solution

1. Step 1: Write the proportion equation
   138,757 : 287,360 = 287,360 : x
2. Step 2: Convert to fraction form
   138,757/287,360 = 287,360/x
3. Step 3: Cross multiply
   138,757x = 287,360 × 287,360
4. Step 4: Simplify right side
   138,757x = 82,575,769,600
5. Step 5: Solve for x
   x = 82,575,769,600/138,757
6. Step 6: Final answer
   x = 595,110.66