Finding the Third Proportional to 259,500 and 575,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,500 : 575,362.50 = 575,362.50 : x
2. Step 2: Convert to fraction form
   259,500/575,362.50 = 575,362.50/x
3. Step 3: Cross multiply
   259,500x = 575,362.50 × 575,362.50
4. Step 4: Simplify right side
   259,500x = 331,042,006,406.25
5. Step 5: Solve for x
   x = 331,042,006,406.25/259,500
6. Step 6: Final answer
   x = 1,275,691.74