Finding the Third Proportional to 85,340 and 113,242

Step by Step Solution

1. Step 1: Write the proportion equation
   85,340 : 113,242 = 113,242 : x
2. Step 2: Convert to fraction form
   85,340/113,242 = 113,242/x
3. Step 3: Cross multiply
   85,340x = 113,242 × 113,242
4. Step 4: Simplify right side
   85,340x = 12,823,750,564
5. Step 5: Solve for x
   x = 12,823,750,564/85,340
6. Step 6: Final answer
   x = 150,266.59