Finding the Third Proportional to 258,786 and 565,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,786 : 565,549.50 = 565,549.50 : x
2. Step 2: Convert to fraction form
   258,786/565,549.50 = 565,549.50/x
3. Step 3: Cross multiply
   258,786x = 565,549.50 × 565,549.50
4. Step 4: Simplify right side
   258,786x = 319,846,236,950.25
5. Step 5: Solve for x
   x = 319,846,236,950.25/258,786
6. Step 6: Final answer
   x = 1,235,948.76