Finding the Third Proportional to 179,372 and 380,614

Step by Step Solution

1. Step 1: Write the proportion equation
   179,372 : 380,614 = 380,614 : x
2. Step 2: Convert to fraction form
   179,372/380,614 = 380,614/x
3. Step 3: Cross multiply
   179,372x = 380,614 × 380,614
4. Step 4: Simplify right side
   179,372x = 144,867,016,996
5. Step 5: Solve for x
   x = 144,867,016,996/179,372
6. Step 6: Final answer
   x = 807,634.51