Finding the Third Proportional to 260,577 and 571,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   260,577 : 571,027.50 = 571,027.50 : x
2. Step 2: Convert to fraction form
   260,577/571,027.50 = 571,027.50/x
3. Step 3: Cross multiply
   260,577x = 571,027.50 × 571,027.50
4. Step 4: Simplify right side
   260,577x = 326,072,405,756.25
5. Step 5: Solve for x
   x = 326,072,405,756.25/260,577
6. Step 6: Final answer
   x = 1,251,347.61