Finding the Third Proportional to 68,092 and 101,166

Step by Step Solution

1. Step 1: Write the proportion equation
   68,092 : 101,166 = 101,166 : x
2. Step 2: Convert to fraction form
   68,092/101,166 = 101,166/x
3. Step 3: Cross multiply
   68,092x = 101,166 × 101,166
4. Step 4: Simplify right side
   68,092x = 10,234,559,556
5. Step 5: Solve for x
   x = 10,234,559,556/68,092
6. Step 6: Final answer
   x = 150,304.88