Finding the Third Proportional to 164,730 and 360,978

Step by Step Solution

1. Step 1: Write the proportion equation
   164,730 : 360,978 = 360,978 : x
2. Step 2: Convert to fraction form
   164,730/360,978 = 360,978/x
3. Step 3: Cross multiply
   164,730x = 360,978 × 360,978
4. Step 4: Simplify right side
   164,730x = 130,305,116,484
5. Step 5: Solve for x
   x = 130,305,116,484/164,730
6. Step 6: Final answer
   x = 791,022.38