Finding the Third Proportional to 234,459 and 362,826

Step by Step Solution

1. Step 1: Write the proportion equation
   234,459 : 362,826 = 362,826 : x
2. Step 2: Convert to fraction form
   234,459/362,826 = 362,826/x
3. Step 3: Cross multiply
   234,459x = 362,826 × 362,826
4. Step 4: Simplify right side
   234,459x = 131,642,706,276
5. Step 5: Solve for x
   x = 131,642,706,276/234,459
6. Step 6: Final answer
   x = 561,474.31