Finding the Third Proportional to 262,002.50 and 565,841

Step by Step Solution

1. Step 1: Write the proportion equation
   262,002.50 : 565,841 = 565,841 : x
2. Step 2: Convert to fraction form
   262,002.50/565,841 = 565,841/x
3. Step 3: Cross multiply
   262,002.50x = 565,841 × 565,841
4. Step 4: Simplify right side
   262,002.50x = 320,176,037,281
5. Step 5: Solve for x
   x = 320,176,037,281/262,002.50
6. Step 6: Final answer
   x = 1,222,034.28