Finding the Third Proportional to 269,025.25 and 412,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,025.25 : 412,012.50 = 412,012.50 : x
2. Step 2: Convert to fraction form
   269,025.25/412,012.50 = 412,012.50/x
3. Step 3: Cross multiply
   269,025.25x = 412,012.50 × 412,012.50
4. Step 4: Simplify right side
   269,025.25x = 169,754,300,156.25
5. Step 5: Solve for x
   x = 169,754,300,156.25/269,025.25
6. Step 6: Final answer
   x = 630,997.65