Finding the Third Proportional to 76,876 and 112,338

Step by Step Solution

1. Step 1: Write the proportion equation
   76,876 : 112,338 = 112,338 : x
2. Step 2: Convert to fraction form
   76,876/112,338 = 112,338/x
3. Step 3: Cross multiply
   76,876x = 112,338 × 112,338
4. Step 4: Simplify right side
   76,876x = 12,619,826,244
5. Step 5: Solve for x
   x = 12,619,826,244/76,876
6. Step 6: Final answer
   x = 164,158.21