Finding the Third Proportional to 76,832 and 112,308

Step by Step Solution

1. Step 1: Write the proportion equation
   76,832 : 112,308 = 112,308 : x
2. Step 2: Convert to fraction form
   76,832/112,308 = 112,308/x
3. Step 3: Cross multiply
   76,832x = 112,308 × 112,308
4. Step 4: Simplify right side
   76,832x = 12,613,086,864
5. Step 5: Solve for x
   x = 12,613,086,864/76,832
6. Step 6: Final answer
   x = 164,164.50