Finding the Third Proportional to 78,868 and 113,367

Step by Step Solution

1. Step 1: Write the proportion equation
   78,868 : 113,367 = 113,367 : x
2. Step 2: Convert to fraction form
   78,868/113,367 = 113,367/x
3. Step 3: Cross multiply
   78,868x = 113,367 × 113,367
4. Step 4: Simplify right side
   78,868x = 12,852,076,689
5. Step 5: Solve for x
   x = 12,852,076,689/78,868
6. Step 6: Final answer
   x = 162,956.80