Finding the Third Proportional to 180,644 and 426,468

Step by Step Solution

1. Step 1: Write the proportion equation
   180,644 : 426,468 = 426,468 : x
2. Step 2: Convert to fraction form
   180,644/426,468 = 426,468/x
3. Step 3: Cross multiply
   180,644x = 426,468 × 426,468
4. Step 4: Simplify right side
   180,644x = 181,874,955,024
5. Step 5: Solve for x
   x = 181,874,955,024/180,644
6. Step 6: Final answer
   x = 1,006,814.26