Finding the Third Proportional to 164,180 and 359,212

Step by Step Solution

1. Step 1: Write the proportion equation
   164,180 : 359,212 = 359,212 : x
2. Step 2: Convert to fraction form
   164,180/359,212 = 359,212/x
3. Step 3: Cross multiply
   164,180x = 359,212 × 359,212
4. Step 4: Simplify right side
   164,180x = 129,033,260,944
5. Step 5: Solve for x
   x = 129,033,260,944/164,180
6. Step 6: Final answer
   x = 785,925.58