Finding the Third Proportional to 76,760 and 116,997

Step by Step Solution

1. Step 1: Write the proportion equation
   76,760 : 116,997 = 116,997 : x
2. Step 2: Convert to fraction form
   76,760/116,997 = 116,997/x
3. Step 3: Cross multiply
   76,760x = 116,997 × 116,997
4. Step 4: Simplify right side
   76,760x = 13,688,298,009
5. Step 5: Solve for x
   x = 13,688,298,009/76,760
6. Step 6: Final answer
   x = 178,325.93