Finding the Third Proportional to 113,782 and 178,468

Step by Step Solution

1. Step 1: Write the proportion equation
   113,782 : 178,468 = 178,468 : x
2. Step 2: Convert to fraction form
   113,782/178,468 = 178,468/x
3. Step 3: Cross multiply
   113,782x = 178,468 × 178,468
4. Step 4: Simplify right side
   113,782x = 31,850,827,024
5. Step 5: Solve for x
   x = 31,850,827,024/113,782
6. Step 6: Final answer
   x = 279,928.52