Finding the Third Proportional to 76,796.25 and 116,268

Step by Step Solution

1. Step 1: Write the proportion equation
   76,796.25 : 116,268 = 116,268 : x
2. Step 2: Convert to fraction form
   76,796.25/116,268 = 116,268/x
3. Step 3: Cross multiply
   76,796.25x = 116,268 × 116,268
4. Step 4: Simplify right side
   76,796.25x = 13,518,247,824
5. Step 5: Solve for x
   x = 13,518,247,824/76,796.25
6. Step 6: Final answer
   x = 176,027.45