Finding the Third Proportional to 78,844 and 113,344

Step by Step Solution

1. Step 1: Write the proportion equation
   78,844 : 113,344 = 113,344 : x
2. Step 2: Convert to fraction form
   78,844/113,344 = 113,344/x
3. Step 3: Cross multiply
   78,844x = 113,344 × 113,344
4. Step 4: Simplify right side
   78,844x = 12,846,862,336
5. Step 5: Solve for x
   x = 12,846,862,336/78,844
6. Step 6: Final answer
   x = 162,940.27