Finding the Third Proportional to 85,860 and 113,174

Step by Step Solution

1. Step 1: Write the proportion equation
   85,860 : 113,174 = 113,174 : x
2. Step 2: Convert to fraction form
   85,860/113,174 = 113,174/x
3. Step 3: Cross multiply
   85,860x = 113,174 × 113,174
4. Step 4: Simplify right side
   85,860x = 12,808,354,276
5. Step 5: Solve for x
   x = 12,808,354,276/85,860
6. Step 6: Final answer
   x = 149,177.20