Finding the Third Proportional to 115,296 and 269,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,296 : 269,299.50 = 269,299.50 : x
2. Step 2: Convert to fraction form
   115,296/269,299.50 = 269,299.50/x
3. Step 3: Cross multiply
   115,296x = 269,299.50 × 269,299.50
4. Step 4: Simplify right side
   115,296x = 72,522,220,700.25
5. Step 5: Solve for x
   x = 72,522,220,700.25/115,296
6. Step 6: Final answer
   x = 629,008.99