Finding the Third Proportional to 541,588 and 757,135.25

Step by Step Solution

1. Step 1: Write the proportion equation
   541,588 : 757,135.25 = 757,135.25 : x
2. Step 2: Convert to fraction form
   541,588/757,135.25 = 757,135.25/x
3. Step 3: Cross multiply
   541,588x = 757,135.25 × 757,135.25
4. Step 4: Simplify right side
   541,588x = 573,253,786,792.56
5. Step 5: Solve for x
   x = 573,253,786,792.56/541,588
6. Step 6: Final answer
   x = 1,058,468.41