Finding the Third Proportional to 262,557 and 575,941.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,557 : 575,941.50 = 575,941.50 : x
2. Step 2: Convert to fraction form
   262,557/575,941.50 = 575,941.50/x
3. Step 3: Cross multiply
   262,557x = 575,941.50 × 575,941.50
4. Step 4: Simplify right side
   262,557x = 331,708,611,422.25
5. Step 5: Solve for x
   x = 331,708,611,422.25/262,557
6. Step 6: Final answer
   x = 1,263,377.52