Finding the Third Proportional to 86,664 and 179,148

Step by Step Solution

1. Step 1: Write the proportion equation
   86,664 : 179,148 = 179,148 : x
2. Step 2: Convert to fraction form
   86,664/179,148 = 179,148/x
3. Step 3: Cross multiply
   86,664x = 179,148 × 179,148
4. Step 4: Simplify right side
   86,664x = 32,094,005,904
5. Step 5: Solve for x
   x = 32,094,005,904/86,664
6. Step 6: Final answer
   x = 370,326.85