Finding the Third Proportional to 113,726 and 178,000

Step by Step Solution

1. Step 1: Write the proportion equation
   113,726 : 178,000 = 178,000 : x
2. Step 2: Convert to fraction form
   113,726/178,000 = 178,000/x
3. Step 3: Cross multiply
   113,726x = 178,000 × 178,000
4. Step 4: Simplify right side
   113,726x = 31,684,000,000
5. Step 5: Solve for x
   x = 31,684,000,000/113,726
6. Step 6: Final answer
   x = 278,599.44