Finding the Third Proportional to 78,858 and 113,353

Step by Step Solution

1. Step 1: Write the proportion equation
   78,858 : 113,353 = 113,353 : x
2. Step 2: Convert to fraction form
   78,858/113,353 = 113,353/x
3. Step 3: Cross multiply
   78,858x = 113,353 × 113,353
4. Step 4: Simplify right side
   78,858x = 12,848,902,609
5. Step 5: Solve for x
   x = 12,848,902,609/78,858
6. Step 6: Final answer
   x = 162,937.21