Finding the Third Proportional to 89,766 and 116,469

Step by Step Solution

1. Step 1: Write the proportion equation
   89,766 : 116,469 = 116,469 : x
2. Step 2: Convert to fraction form
   89,766/116,469 = 116,469/x
3. Step 3: Cross multiply
   89,766x = 116,469 × 116,469
4. Step 4: Simplify right side
   89,766x = 13,565,027,961
5. Step 5: Solve for x
   x = 13,565,027,961/89,766
6. Step 6: Final answer
   x = 151,115.43