Finding the Third Proportional to 86,123 and 178,726

Step by Step Solution

1. Step 1: Write the proportion equation
   86,123 : 178,726 = 178,726 : x
2. Step 2: Convert to fraction form
   86,123/178,726 = 178,726/x
3. Step 3: Cross multiply
   86,123x = 178,726 × 178,726
4. Step 4: Simplify right side
   86,123x = 31,942,983,076
5. Step 5: Solve for x
   x = 31,942,983,076/86,123
6. Step 6: Final answer
   x = 370,899.56