Finding the Third Proportional to 269,289 and 418,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,289 : 418,153.50 = 418,153.50 : x
2. Step 2: Convert to fraction form
   269,289/418,153.50 = 418,153.50/x
3. Step 3: Cross multiply
   269,289x = 418,153.50 × 418,153.50
4. Step 4: Simplify right side
   269,289x = 174,852,349,562.25
5. Step 5: Solve for x
   x = 174,852,349,562.25/269,289
6. Step 6: Final answer
   x = 649,311.15