Finding the Third Proportional to 64,860 and 100,166

Step by Step Solution

1. Step 1: Write the proportion equation
   64,860 : 100,166 = 100,166 : x
2. Step 2: Convert to fraction form
   64,860/100,166 = 100,166/x
3. Step 3: Cross multiply
   64,860x = 100,166 × 100,166
4. Step 4: Simplify right side
   64,860x = 10,033,227,556
5. Step 5: Solve for x
   x = 10,033,227,556/64,860
6. Step 6: Final answer
   x = 154,690.53