Finding the Third Proportional to 81,892 and 120,152

Step by Step Solution

1. Step 1: Write the proportion equation
   81,892 : 120,152 = 120,152 : x
2. Step 2: Convert to fraction form
   81,892/120,152 = 120,152/x
3. Step 3: Cross multiply
   81,892x = 120,152 × 120,152
4. Step 4: Simplify right side
   81,892x = 14,436,503,104
5. Step 5: Solve for x
   x = 14,436,503,104/81,892
6. Step 6: Final answer
   x = 176,287.10