Finding the Third Proportional to 78,846 and 113,347

Step by Step Solution

1. Step 1: Write the proportion equation
   78,846 : 113,347 = 113,347 : x
2. Step 2: Convert to fraction form
   78,846/113,347 = 113,347/x
3. Step 3: Cross multiply
   78,846x = 113,347 × 113,347
4. Step 4: Simplify right side
   78,846x = 12,847,542,409
5. Step 5: Solve for x
   x = 12,847,542,409/78,846
6. Step 6: Final answer
   x = 162,944.76