Finding the Third Proportional to 86,826 and 178,260

Step by Step Solution

1. Step 1: Write the proportion equation
   86,826 : 178,260 = 178,260 : x
2. Step 2: Convert to fraction form
   86,826/178,260 = 178,260/x
3. Step 3: Cross multiply
   86,826x = 178,260 × 178,260
4. Step 4: Simplify right side
   86,826x = 31,776,627,600
5. Step 5: Solve for x
   x = 31,776,627,600/86,826
6. Step 6: Final answer
   x = 365,980.55