Finding the Third Proportional to 116,098 and 255,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,098 : 255,029.50 = 255,029.50 : x
2. Step 2: Convert to fraction form
   116,098/255,029.50 = 255,029.50/x
3. Step 3: Cross multiply
   116,098x = 255,029.50 × 255,029.50
4. Step 4: Simplify right side
   116,098x = 65,040,045,870.25
5. Step 5: Solve for x
   x = 65,040,045,870.25/116,098
6. Step 6: Final answer
   x = 560,216.76