Finding the Third Proportional to 86,823 and 178,254

Step by Step Solution

1. Step 1: Write the proportion equation
   86,823 : 178,254 = 178,254 : x
2. Step 2: Convert to fraction form
   86,823/178,254 = 178,254/x
3. Step 3: Cross multiply
   86,823x = 178,254 × 178,254
4. Step 4: Simplify right side
   86,823x = 31,774,488,516
5. Step 5: Solve for x
   x = 31,774,488,516/86,823
6. Step 6: Final answer
   x = 365,968.56