Finding the Third Proportional to 78,872 and 113,373

Step by Step Solution

1. Step 1: Write the proportion equation
   78,872 : 113,373 = 113,373 : x
2. Step 2: Convert to fraction form
   78,872/113,373 = 113,373/x
3. Step 3: Cross multiply
   78,872x = 113,373 × 113,373
4. Step 4: Simplify right side
   78,872x = 12,853,437,129
5. Step 5: Solve for x
   x = 12,853,437,129/78,872
6. Step 6: Final answer
   x = 162,965.78