Finding the Third Proportional to 262,546 and 575,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,546 : 575,928.50 = 575,928.50 : x
2. Step 2: Convert to fraction form
   262,546/575,928.50 = 575,928.50/x
3. Step 3: Cross multiply
   262,546x = 575,928.50 × 575,928.50
4. Step 4: Simplify right side
   262,546x = 331,693,637,112.25
5. Step 5: Solve for x
   x = 331,693,637,112.25/262,546
6. Step 6: Final answer
   x = 1,263,373.42